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Let’s check out your problem:
Solve for
y
y
y
.
\newline
y
+
3
=
8
y
+
3
y + 3 = 8y + 3
y
+
3
=
8
y
+
3
\newline
y
=
y =
y
=
____
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations with variables on both sides
Full solution
Q.
Solve for
y
y
y
.
\newline
y
+
3
=
8
y
+
3
y + 3 = 8y + 3
y
+
3
=
8
y
+
3
\newline
y
=
y =
y
=
____
Move y terms together:
Start with the equation
y
+
3
=
8
y
+
3
y + 3 = 8y + 3
y
+
3
=
8
y
+
3
.
\newline
We want to isolate
y
y
y
, so we need to get all the
y
y
y
terms on one side of the equation.
Simplify equation:
Subtract
y
y
y
from both sides of the equation to move the
y
y
y
terms to one side.
y
+
3
−
y
=
8
y
+
3
−
y
y + 3 - y = 8y + 3 - y
y
+
3
−
y
=
8
y
+
3
−
y
This simplifies to
3
=
7
y
+
3
3 = 7y + 3
3
=
7
y
+
3
.
Isolate y term:
Subtract
3
3
3
from both sides of the equation to isolate the term with
y
y
y
.
\newline
3
−
3
=
7
y
+
3
−
3
3 - 3 = 7y + 3 - 3
3
−
3
=
7
y
+
3
−
3
\newline
This simplifies to
0
=
7
y
0 = 7y
0
=
7
y
.
Solve for y:
Divide both sides by
7
7
7
to solve for y.
0
7
=
7
y
7
\frac{0}{7} = \frac{7y}{7}
7
0
=
7
7
y
This simplifies to
y
=
0
y = 0
y
=
0
.
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\newline
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−
6
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x
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\newline
Choose
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1
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answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
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\newline
(A) No solutions
\newline
(B) Exactly one solution
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(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
9
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7
z
=
16
z
−
6
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\newline
Choose
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\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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