Question 804135
4x + y = 9
3x + 2y = 13

pick any equation, say equation 1

4x + y = 9

express y as a function of x
thus

y = 9 - 4x

plug this equation (otherwise known as substitute) into equation 2

3x + 2(9 - 4x) = 13

3x + 18 - 8x = 13

simplify

18 - 13 = 8x - 3x

5 = 5x

1 = x

plug this result back into the equation for y

y = 9 - 4x = 9 - 4(1) = 5

so y = 5 and x = 1

trying using the values of y and x in the original equations to prove that you are right