Question

Solve each of the following system of equations by substitution!!!

x-5y=-49
y=-2x+1

Answer 1

(-4,9)

Explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9