Question

x+5y= -3
3x-2y= 8
sovle using substituion

Answer 1

(1) x + 5y = -3
(2) 3x - 2y = 8
substitution method: we first choose one of the equation, and express one of the variables in terms of the other variable,, here let's choose equation (1), and express x in terms of y:
x + 5y = -3
x = -3 - 5y
now, we substitute this to equation (2), and we solve for y:
3x - 2y = 8
3(-3 - 5y) - 2y = 8
-9 - 15y -2y = 8
-17y = 17
y = -1
substituting this back to either equations to get x (let's choose (1)):
x = -3 - 5y
x = -3 -5(-1)
x = -3 + 5
x = 2

hope this helps~ :)