Question

Solve each system of equations by using substitution. x+4y=3 2x-3y=17

Answer 1

X + 4y = 3 x = -4y + 3
2x - 3y = 17

2(-4y + 3) - 3y = 17
-8y + 6 - 3y = 17
-11y + 6 = 17
-11y = 11
y = -1

x = -4(-1) + 3
x = 4 + 3
x = 7

(7, -1) is your answer

Answer 2

$Equation\ 1--- x+4y=3 \\ \\ Equation\ 2---2x-3y=17 \\ \\ x=3-4y \\ \\ \\ \\ Substitude\ x\ into\ equation\ 2, \\ \\ 2(3-4y)-3y=17 \\ \\ 6-8y-3y=17 \\ \\ -11y=11 \\ \\ y=-1$ $Substitude\ y\ into\ equation\ 1, \\ \\ x+4(-1)=3 \\ \\ x=3+4 \\ \\ x=7$