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Let’s check out your problem:
Solve for
z
z
z
.
\newline
−
15
+
3
10
z
=
−
12
-15+\frac{3}{10} z=-12
−
15
+
10
3
z
=
−
12
\newline
Answer:
z
=
z=
z
=
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
z
z
z
.
\newline
−
15
+
3
10
z
=
−
12
-15+\frac{3}{10} z=-12
−
15
+
10
3
z
=
−
12
\newline
Answer:
z
=
z=
z
=
Add
15
15
15
to isolate z:
Add
15
15
15
to both sides of the equation to isolate the term containing z.
\newline
−
15
+
(
3
10
)
z
+
15
=
−
12
+
15
-15 + \left(\frac{3}{10}\right)z + 15 = -12 + 15
−
15
+
(
10
3
)
z
+
15
=
−
12
+
15
Simplify both sides:
Simplify both sides of the equation.
(
3
10
)
z
=
3
(\frac{3}{10})z = 3
(
10
3
)
z
=
3
Multiply by reciprocal:
Multiply both sides of the equation by the reciprocal of
(
3
10
)
(\frac{3}{10})
(
10
3
)
to solve for
z
z
z
.
10
3
×
3
10
z
=
3
×
10
3
\frac{10}{3} \times \frac{3}{10}z = 3 \times \frac{10}{3}
3
10
×
10
3
z
=
3
×
3
10
Simplify to find
z
z
z
:
Simplify both sides of the equation.
z
=
10
z = 10
z
=
10
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answer:
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How many solutions does the following equation have?
\newline
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