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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
.
\newline
21
x
=
−
7
2
\frac{21}{x}=-\frac{7}{2}
x
21
=
−
2
7
\newline
Answer:
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Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
.
\newline
21
x
=
−
7
2
\frac{21}{x}=-\frac{7}{2}
x
21
=
−
2
7
\newline
Answer:
Identify Equation:
Identify the equation to solve.
\newline
We have the equation
21
x
=
−
7
2
\frac{21}{x} = -\frac{7}{2}
x
21
=
−
2
7
. We need to find the value of
x
x
x
that satisfies this equation.
Multiply by
x
x
x
:
Multiply both sides of the equation by
x
x
x
to eliminate the denominator on the left side.
\newline
21
x
×
x
=
−
7
2
×
x
\frac{21}{x} \times x = -\frac{7}{2} \times x
x
21
×
x
=
−
2
7
×
x
\newline
21
=
−
7
x
2
21 = -\frac{7x}{2}
21
=
−
2
7
x
Multiply by
2
2
2
:
Multiply both sides of the equation by
2
2
2
to eliminate the fraction on the right side.
\newline
21
×
2
=
(
−
7
x
2
)
×
2
21 \times 2 = \left(-\frac{7x}{2}\right) \times 2
21
×
2
=
(
−
2
7
x
)
×
2
\newline
42
=
−
7
x
42 = -7x
42
=
−
7
x
Divide by
−
7
-7
−
7
:
Divide both sides of the equation by
−
7
-7
−
7
to solve for x.
\newline
42
−
7
=
−
7
x
−
7
\frac{42}{-7} = \frac{-7x}{-7}
−
7
42
=
−
7
−
7
x
\newline
−
6
=
x
-6 = x
−
6
=
x
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