Question

solve the system of equations.
5x - 7y = 58
y = -x + 2
x =

y =

Explanation:

Step1: Substitute y into first equation

Substitute $y=-x + 2$ into $5x-7y=58$. We get $5x-7(-x + 2)=58$.

Step2: Expand and simplify

Expand the left - hand side: $5x+7x-14 = 58$. Combine like terms: $12x-14=58$.

Step3: Solve for x

Add 14 to both sides: $12x=58 + 14=72$. Then divide both sides by 12, so $x=\frac{72}{12}=6$.

Step4: Solve for y

Substitute $x = 6$ into $y=-x + 2$. Then $y=-6 + 2=-4$.

Answer:

$x = 6$
$y=-4$