Solve 3 5x - 2 = 36; -5*-3- 4-7 - 7 * 6 =; - 12 * 3 = 613 13*(-2)=\; 7 ne9; - 5 =

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Question

$$\left. \begin{array} { l } { 5 x - 2 = 35 } \\ { 5 \times 3 = } \\ { - 7 \times 6 = } \\ { 5 - 12 \times 3 = } \\ { 13 \times 62 ) = } \\ { 77 + 9 } \\ { 8 x - 5 = } \end{array} \right.$$

Solve for x, y, z, a, b

$y=15$
$z=-42$
$a=-31$
$b=806$

Solution Steps

Consider the first equation. Add $2$ to both sides.

$$5x=35+2$$

Add $35$ and $2$ to get $37$.

$$5x=37$$

Divide both sides by $5$.

$$x=\frac{37}{5}$$

Consider the second equation. Multiply $5$ and $3$ to get $15$.

$$y=15$$

Consider the third equation. Multiply $-7$ and $6$ to get $-42$.

$$z=-42$$

Consider the fourth equation. Multiply $12$ and $3$ to get $36$.

$$a=5-36$$

Subtract $36$ from $5$ to get $-31$.

$$a=-31$$

Consider the fifth equation. Multiply $13$ and $62$ to get $806$.

$$b=806$$

The system is now solved.

$$x=\frac{37}{5}$$ $$y=15$$ $$z=-42$$ $$a=-31$$ $$b=806$$

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