4x-7y=10 y=x-7 using the substitution method

Y = x - 7 ... so we sub in x - 7 for y in the other equation

4x - 7y = 10

4x - 7 (x - 7) = 10

4x - 7x + 49 = 10

4x - 7x = 10 - 49

-3x = - 39

x = - 39/-3

x = 13

y = x - 7

y = 13 - 7

y = 6

solution is (13,6)