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Let’s check out your problem:
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
\newline
□
\square
□
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Math Problems
Algebra 2
Solve a system of equations using elimination
Full solution
Q.
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
\newline
□
\square
□
Write Equations:
Write down the equations to be added.
\newline
5
x
−
y
=
6
5x - y = 6
5
x
−
y
=
6
\newline
−
2
x
+
y
=
8
-2x + y = 8
−
2
x
+
y
=
8
Add Equations:
Add the equations together to combine like terms.
\newline
(
5
x
−
y
)
+
(
−
2
x
+
y
)
=
6
+
8
(5x - y) + (-2x + y) = 6 + 8
(
5
x
−
y
)
+
(
−
2
x
+
y
)
=
6
+
8
\newline
5
x
−
y
−
2
x
+
y
=
14
5x - y - 2x + y = 14
5
x
−
y
−
2
x
+
y
=
14
Combine Like Terms:
Simplify the equation by combining like terms.
\newline
5
x
−
2
x
=
3
x
5x - 2x = 3x
5
x
−
2
x
=
3
x
\newline
−
y
+
y
=
0
-y + y = 0
−
y
+
y
=
0
\newline
Therefore,
3
x
=
14
3x = 14
3
x
=
14
Final Equation:
Write the final simplified equation.
\newline
3
x
=
14
3x = 14
3
x
=
14
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\newline
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\newline
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y
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What is the result of subtracting the second equation from the first?
\newline
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\newline
□
\square
□
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Question
What is the result of subtracting the second equation from the first?
\newline
2
x
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8
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\begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}
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\newline
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\square
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Could
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\newline
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1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
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Could
7.7
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4.0
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m
7.7 \mathrm{~cm}, 4.0 \mathrm{~cm}
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1.7
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m
1.7 \mathrm{~cm}
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\newline
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\newline
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\newline
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\newline
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\newline
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Could
10.5
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m
4.0 \mathrm{~cm}
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cm
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\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
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\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
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\newline
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