Solve 3(5y - 7) - 2(9y - 11) = 4; (8y - 13) - 17 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3(5y-7)-2(9y-11)=4; (8y-13)-17$$

Solve for y, z

$z=-38$

Solution Steps

Consider the first equation. Use the distributive property to multiply $3$ by $5y-7$.

$$15y-21-2\left(9y-11\right)=4$$

Use the distributive property to multiply $-2$ by $9y-11$.

$$15y-21-18y+22=4$$

Combine $15y$ and $-18y$ to get $-3y$.

$$-3y-21+22=4$$

Add $-21$ and $22$ to get $1$.

$$-3y+1=4$$

Subtract $1$ from both sides.

$$-3y=4-1$$

Subtract $1$ from $4$ to get $3$.

$$-3y=3$$

Divide both sides by $-3$.

$$y=\frac{3}{-3}$$

Divide $3$ by $-3$ to get $-1$.

$$y=-1$$

Consider the second equation. Insert the known values of variables into the equation.

$$z=8\left(-1\right)-13-17$$

Multiply $8$ and $-1$ to get $-8$.

$$z=-8-13-17$$

Subtract $13$ from $-8$ to get $-21$.

$$z=-21-17$$

Subtract $17$ from $-21$ to get $-38$.

$$z=-38$$

The system is now solved.

$$y=-1$$ $$z=-38$$