Question

Solve the system of equations using the substitution method.

Answer 1

Answer:

$x = 14$

$y = -3$

Step-by-step explanation:

Given

$2x + 8y =4$

$x = -3y + 5$

Required

Solve

Substitute $x = -3y + 5$ in $2x + 8y =4$

$2(-3y + 5) + 8y =4$

Open bracket

$-6y + 10 + 8y =4$

Collect like terms

$-6y + 8y =4-10$

$2y =-6$

Divide both sides by 2

$y = -3$

Substitute $y = -3$ in $x = -3y + 5$

$x = -3 * -3 + 5$

$x = 9+ 5$

$x = 14$