Question

Find the solution to the following system of equations using substitution:

X-3y=2
2x+ 5y = 15

Answer 1

x = 5 and y = 1

Explanation:

x - 3y = 2 then x = 2 + 3y

Substituting x in: 2x + 5y = 15

2*(2 + 3y) + 5y = 15

4 + 6y + 5y = 15

11y = 15 - 4

11y = 11

y = 11/11

y = 1

Then

x = 2 + 3y

x = 2 + (3*1)

x = 2 + 3

x = 5

I hope it's clear

Answer 2

x = 5

y =1

Explanation:

following image will help you understand this: