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# Solving One-Step Equations

## Solving One-Step Equations 1.5 - Solution

a
The first step is to substitute $2$ for $y$ in the equation. Then we use inverse operations to isolate $x.$
$yx=12$
${\color{#0000FF}{2}}x=12$
$x=\dfrac{12}{2}$
$x=6$
b
After substituting $2$ for $y$ we can subtract $2$ from both sides to isolate $x.$
$x+y=15$
$x+{\color{#0000FF}{2}}=15$
$x=13$
c
Substitute $2$ for $y$ and solve the equation for $x$ by using the inverse operation of subtracting $2,$ meaning, adding $2.$
$\text{-}5=x-y$
$\text{-}5=x-{\color{#0000FF}{2}}$
$x-2=\text{-}5$
$x=\text{-}3$
d
Let's first substitute $2$ for $y$ in the equation. $\dfrac{1}{{\color{#0000FF}{2}}}x=10$ Now we can multiply both sides by $2$ to rewrite find an equivalent equation without fractions.
$\dfrac{1}{2}x=10$
$2\cdot\dfrac{1}{2}x=2\cdot10$
$x=20$