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Math Problems
Algebra 2
Solve a system of equations using elimination
Solve the system of equations.
\newline
−
3
y
+
4
x
=
13
−
5
y
−
6
x
=
−
67
x
=
□
y
=
□
\begin{array}{l} -3 y+4 x=13 \\ -5 y-6 x=-67 \\ x=\square \\ y=\square \end{array}
−
3
y
+
4
x
=
13
−
5
y
−
6
x
=
−
67
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
8
y
+
9
x
=
−
5
8
y
+
7
x
=
−
75
x
=
□
y
=
□
\begin{array}{l} -8 y+9 x=-5 \\ 8 y+7 x=-75 \\ x=\square \\ y=\square \end{array}
−
8
y
+
9
x
=
−
5
8
y
+
7
x
=
−
75
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
12
x
−
5
y
=
40
12
x
−
11
y
=
88
x
=
□
y
=
□
\begin{array}{l} -12 x-5 y=40 \\ 12 x-11 y=88 \\ x=\square \\ y=\square \end{array}
−
12
x
−
5
y
=
40
12
x
−
11
y
=
88
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
y
+
6
x
=
40
3
y
−
8
x
=
−
46
x
=
□
y
=
□
\begin{array}{l} -5 y+6 x=40 \\ 3 y-8 x=-46 \\ x=\square \\ y=\square \end{array}
−
5
y
+
6
x
=
40
3
y
−
8
x
=
−
46
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
x
+
13
y
=
−
7
5
x
+
4
y
=
24
x
=
□
y
=
□
\begin{array}{l} -5 x+13 y=-7 \\ 5 x+4 y=24 \\ x=\square \\ y=\square \end{array}
−
5
x
+
13
y
=
−
7
5
x
+
4
y
=
24
x
=
□
y
=
□
Get tutor help
What is the result of adding these two equations?
\newline
−
2
x
+
7
y
=
−
5
−
2
x
−
4
y
=
6
\begin{array}{l} -2 x+7 y=-5 \\ -2 x-4 y=6 \end{array}
−
2
x
+
7
y
=
−
5
−
2
x
−
4
y
=
6
Get tutor help
Which of these strategies would eliminate a variable in the system of equations?
\newline
{
6
x
+
5
y
=
1
6
x
−
5
y
=
7
\left\{\begin{array}{l} 6 x+5 y=1 \\ 6 x-5 y=7 \end{array}\right.
{
6
x
+
5
y
=
1
6
x
−
5
y
=
7
\newline
Choose
2
2
2
answers:
\newline
A Multiply the top equation by
7
7
7
, then subtract the bottom equation from the top equation.
\newline
B Subtract the bottom equation from the top equation.
\newline
C
\newline
Add the equations.
Get tutor help
Solve the system of equations.
\newline
2
y
−
3
x
=
−
27
5
y
+
3
x
=
6
x
=
□
y
=
□
\begin{array}{l} 2 y-3 x=-27 \\ 5 y+3 x=6 \\ x=\square \\ y=\square \end{array}
2
y
−
3
x
=
−
27
5
y
+
3
x
=
6
x
=
□
y
=
□
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
−
4
x
−
2
y
=
−
2
x
−
2
y
=
9
\begin{array}{c} -4 x-2 y=-2 \\ x-2 y=9 \end{array}
−
4
x
−
2
y
=
−
2
x
−
2
y
=
9
Get tutor help
Solve the system of equations.
\newline
14
x
+
5
y
=
31
2
x
−
3
y
=
−
29
x
=
□
y
=
□
\begin{array}{l} 14 x+5 y=31 \\ 2 x-3 y=-29 \\ x=\square \\ y=\square \end{array}
14
x
+
5
y
=
31
2
x
−
3
y
=
−
29
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
2
x
+
5
y
=
13
16
x
+
3
y
=
25
x
=
□
y
=
□
\begin{array}{l} -2 x+5 y=13 \\ 16 x+3 y=25 \\ x=\square \\ y=\square \end{array}
−
2
x
+
5
y
=
13
16
x
+
3
y
=
25
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
3
x
+
2
y
=
56
−
5
x
−
2
y
=
24
x
=
□
y
=
□
\begin{array}{l} -3 x+2 y=56 \\ -5 x-2 y=24 \\ x=\square \\ y=\square \end{array}
−
3
x
+
2
y
=
56
−
5
x
−
2
y
=
24
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
y
+
8
x
=
−
18
5
y
+
2
x
=
58
x
=
□
y
=
□
\begin{array}{l} -5 y+8 x=-18 \\ 5 y+2 x=58 \\ x=\square \\ y=\square \end{array}
−
5
y
+
8
x
=
−
18
5
y
+
2
x
=
58
x
=
□
y
=
□
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
x
−
3
y
=
6
−
8
x
−
y
=
6
\begin{array}{r} x-3 y=6 \\ -8 x-y=6 \end{array}
x
−
3
y
=
6
−
8
x
−
y
=
6
Get tutor help
Solve the system of equations.
\newline
7
y
+
10
x
=
−
11
4
y
−
3
x
=
−
15
x
=
□
y
=
□
\begin{array}{l} 7 y+10 x=-11 \\ 4 y-3 x=-15 \\ x=\square \\ y=\square \end{array}
7
y
+
10
x
=
−
11
4
y
−
3
x
=
−
15
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
3
x
−
4
y
=
8
18
x
−
5
y
=
10
x
=
□
y
=
□
\begin{array}{l} 3 x-4 y=8 \\ 18 x-5 y=10 \\ x=\square \\ y=\square \end{array}
3
x
−
4
y
=
8
18
x
−
5
y
=
10
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
5
y
−
4
x
=
−
7
2
y
+
4
x
=
14
x
=
□
y
=
□
\begin{array}{l} 5 y-4 x=-7 \\ 2 y+4 x=14 \\ x=\square \\ y=\square \end{array}
5
y
−
4
x
=
−
7
2
y
+
4
x
=
14
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
2
x
+
15
y
=
−
24
2
x
+
9
y
=
24
x
=
□
y
=
□
\begin{array}{l} -2 x+15 y=-24 \\ 2 x+9 y=24 \\ x=\square \\ y=\square \end{array}
−
2
x
+
15
y
=
−
24
2
x
+
9
y
=
24
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
10
y
+
9
x
=
−
9
10
y
+
5
x
=
−
5
x
=
□
y
=
□
\begin{array}{l} -10 y+9 x=-9 \\ 10 y+5 x=-5 \\ x=\square \\ y=\square \end{array}
−
10
y
+
9
x
=
−
9
10
y
+
5
x
=
−
5
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
3
y
+
10
x
−
54
=
0
5
y
−
2
x
−
34
=
0
x
=
□
y
=
□
\begin{array}{l} 3 y+10 x-54=0 \\ 5 y-2 x-34=0 \\ x=\square \\ y=\square \end{array}
3
y
+
10
x
−
54
=
0
5
y
−
2
x
−
34
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
3
y
−
4
x
=
−
11
3
y
−
5
x
=
−
61
x
=
□
y
=
□
\begin{array}{l} -3 y-4 x=-11 \\ 3 y-5 x=-61 \\ x=\square \\ y=\square \end{array}
−
3
y
−
4
x
=
−
11
3
y
−
5
x
=
−
61
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
4
y
+
7
x
=
49
−
16
y
+
9
x
=
63
x
=
□
y
=
□
\begin{array}{l} -4 y+7 x=49 \\ -16 y+9 x=63 \\ x=\square \\ y=\square \end{array}
−
4
y
+
7
x
=
49
−
16
y
+
9
x
=
63
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
7
y
−
4
x
=
1
7
y
−
2
x
=
53
x
=
□
y
=
□
\begin{array}{l} -7 y-4 x=1 \\ 7 y-2 x=53 \\ x=\square \\ y=\square \end{array}
−
7
y
−
4
x
=
1
7
y
−
2
x
=
53
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
5
x
−
4
y
=
−
10
−
4
x
+
5
y
=
8
x
=
□
y
=
□
\begin{array}{l} 5 x-4 y=-10 \\ -4 x+5 y=8 \\ x=\square \\ y=\square \end{array}
5
x
−
4
y
=
−
10
−
4
x
+
5
y
=
8
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
6
y
+
11
x
=
−
36
−
4
y
+
7
x
=
−
24
x
=
□
y
=
□
\begin{array}{l} -6 y+11 x=-36 \\ -4 y+7 x=-24 \\ x=\square \\ y=\square \end{array}
−
6
y
+
11
x
=
−
36
−
4
y
+
7
x
=
−
24
x
=
□
y
=
□
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
−
2
x
+
y
=
0
-2 x+y=0
−
2
x
+
y
=
0
\newline
−
7
x
+
3
y
=
2
-7 x+3 y=2
−
7
x
+
3
y
=
2
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
2
x
+
7
y
=
−
8
2
x
−
5
y
=
−
1
\begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}
2
x
+
7
y
=
−
8
2
x
−
5
y
=
−
1
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
−
3
x
+
2
y
=
7
−
3
x
−
2
y
=
4
\begin{array}{l} -3 x+2 y=7 \\ -3 x-2 y=4 \end{array}
−
3
x
+
2
y
=
7
−
3
x
−
2
y
=
4
Get tutor help
Solve the system of equations.
\newline
3
x
+
8
y
=
15
2
x
−
8
y
=
10
x
=
□
y
=
□
\begin{array}{l} 3 x+8 y=15 \\ 2 x-8 y=10 \\ x=\square \\ y=\square \end{array}
3
x
+
8
y
=
15
2
x
−
8
y
=
10
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
5
x
+
12
y
−
10
=
0
2
x
−
3
y
+
35
=
0
x
=
□
y
=
□
\begin{array}{l} 5 x+12 y-10=0 \\ 2 x-3 y+35=0 \\ x=\square \\ y=\square \end{array}
5
x
+
12
y
−
10
=
0
2
x
−
3
y
+
35
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
9
y
+
4
x
−
11
=
0
−
3
y
+
10
x
+
31
=
0
x
=
□
y
=
□
\begin{array}{l} -9 y+4 x-11=0 \\ -3 y+10 x+31=0 \\ x=\square \\ y=\square \end{array}
−
9
y
+
4
x
−
11
=
0
−
3
y
+
10
x
+
31
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
7
y
+
10
x
−
8
=
0
2
y
−
5
x
−
18
=
0
x
=
□
y
=
□
\begin{array}{l} 7 y+10 x-8=0 \\ 2 y-5 x-18=0 \\ x=\square \\ y=\square \end{array}
7
y
+
10
x
−
8
=
0
2
y
−
5
x
−
18
=
0
x
=
□
y
=
□
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
−
2
x
+
7
y
=
10
3
x
+
7
y
=
2
\begin{array}{c} -2 x+7 y=10 \\ 3 x+7 y=2 \end{array}
−
2
x
+
7
y
=
10
3
x
+
7
y
=
2
Get tutor help
Solve the system of equations.
\newline
13
x
+
2
y
=
1
5
x
−
2
y
=
−
19
x
=
□
y
=
□
\begin{array}{l} 13 x+2 y=1 \\ 5 x-2 y=-19 \\ x=\square \\ y=\square \end{array}
13
x
+
2
y
=
1
5
x
−
2
y
=
−
19
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
9
x
−
6
y
=
15
9
x
−
10
y
=
145
x
=
□
y
=
□
\begin{array}{l} -9 x-6 y=15 \\ 9 x-10 y=145 \\ x=\square \\ y=\square \end{array}
−
9
x
−
6
y
=
15
9
x
−
10
y
=
145
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
y
+
3
x
=
3
−
8
y
+
9
x
=
−
12
x
=
□
y
=
□
\begin{array}{l} -5 y+3 x=3 \\ -8 y+9 x=-12 \\ x=\square \\ y=\square \end{array}
−
5
y
+
3
x
=
3
−
8
y
+
9
x
=
−
12
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
5
x
−
2
y
−
4
=
0
3
x
+
16
y
−
54
=
0
x
=
□
y
=
□
\begin{array}{l} 5 x-2 y-4=0 \\ 3 x+16 y-54=0 \\ x=\square \\ y=\square \end{array}
5
x
−
2
y
−
4
=
0
3
x
+
16
y
−
54
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
9
x
+
4
y
=
6
9
x
+
5
y
=
−
33
x
=
□
y
=
□
\begin{array}{l} -9 x+4 y=6 \\ 9 x+5 y=-33 \\ x=\square \\ y=\square \end{array}
−
9
x
+
4
y
=
6
9
x
+
5
y
=
−
33
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
y
−
10
x
=
45
−
3
y
+
10
x
=
−
5
x
=
□
y
=
□
\begin{array}{l} -5 y-10 x=45 \\ -3 y+10 x=-5 \\ x=\square \\ y=\square \end{array}
−
5
y
−
10
x
=
45
−
3
y
+
10
x
=
−
5
x
=
□
y
=
□
Get tutor help
What is the result of adding these two equations?
\newline
−
5
x
−
9
y
=
3
5
x
−
9
y
=
−
2
\begin{aligned} -5 x-9 y & =3 \\ 5 x-9 y & =-2 \end{aligned}
−
5
x
−
9
y
5
x
−
9
y
=
3
=
−
2
Get tutor help
Solve the system of equations.
\newline
2
y
+
7
x
=
−
5
5
y
−
7
x
=
12
x
=
□
y
=
□
\begin{array}{l} 2 y+7 x=-5 \\ 5 y-7 x=12 \\ x=\square \\ y=\square \end{array}
2
y
+
7
x
=
−
5
5
y
−
7
x
=
12
x
=
□
y
=
□
Get tutor help
What is the result of subtracting the second equation from the first?
\newline
8
x
−
4
y
=
−
4
−
3
x
+
4
y
=
5
\begin{aligned} 8 x-4 y & =-4 \\ -3 x+4 y & =5 \end{aligned}
8
x
−
4
y
−
3
x
+
4
y
=
−
4
=
5
Get tutor help
Solve the system of equations.
\newline
−
2
x
+
9
y
=
11
−
5
x
+
2
y
=
−
34
x
=
□
y
=
□
\begin{array}{l} -2 x+9 y=11 \\ -5 x+2 y=-34 \\ x=\square \\ y=\square \end{array}
−
2
x
+
9
y
=
11
−
5
x
+
2
y
=
−
34
x
=
□
y
=
□
Get tutor help
What is the result of adding these two equations?
\newline
5
x
−
y
=
6
5 x-y=6
5
x
−
y
=
6
\newline
−
2
x
+
y
=
8
-2 x+y=8
−
2
x
+
y
=
8
Get tutor help
Solve the system of equations.
\newline
6
x
−
5
y
=
−
32
−
7
x
+
8
y
=
46
x
=
□
y
=
□
\begin{array}{l} 6 x-5 y=-32 \\ -7 x+8 y=46 \\ x=\square \\ y=\square \end{array}
6
x
−
5
y
=
−
32
−
7
x
+
8
y
=
46
x
=
□
y
=
□
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Solve the system of equations.
\newline
−
4
y
+
11
x
−
67
=
0
2
y
+
5
x
−
19
=
0
x
=
□
y
=
□
\begin{array}{l} -4 y+11 x-67=0 \\ 2 y+5 x-19=0 \\ x=\square \\ y=\square \end{array}
−
4
y
+
11
x
−
67
=
0
2
y
+
5
x
−
19
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
2
x
−
7
y
=
30
7
x
+
4
y
=
18
x
=
□
y
=
□
\begin{array}{l} -2 x-7 y=30 \\ 7 x+4 y=18 \\ x=\square \\ y=\square \end{array}
−
2
x
−
7
y
=
30
7
x
+
4
y
=
18
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
−
5
x
−
3
y
−
9
=
0
4
x
−
18
y
−
54
=
0
x
=
□
y
=
□
\begin{array}{l} -5 x-3 y-9=0 \\ 4 x-18 y-54=0 \\ x=\square \\ y=\square \end{array}
−
5
x
−
3
y
−
9
=
0
4
x
−
18
y
−
54
=
0
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
3
x
−
11
y
=
−
1
2
x
−
5
y
=
−
3
x
=
□
y
=
□
\begin{array}{l} 3 x-11 y=-1 \\ 2 x-5 y=-3 \\ x=\square \\ y=\square \end{array}
3
x
−
11
y
=
−
1
2
x
−
5
y
=
−
3
x
=
□
y
=
□
Get tutor help
Solve the system of equations.
\newline
10
y
−
11
x
=
−
4
−
2
y
+
3
x
=
4
x
=
□
y
=
□
\begin{array}{l} 10 y-11 x=-4 \\ -2 y+3 x=4 \\ x=\square \\ y=\square \end{array}
10
y
−
11
x
=
−
4
−
2
y
+
3
x
=
4
x
=
□
y
=
□
Get tutor help
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