Question

x+y=8
2x+7y=31

solve the system algebraically. what is the solution?

Answer 1

x = 8 - y (equation 1)
sub equation 1 into 2x + 7y = 31
2(8-y) + 7y = 31
16 - 2y + 7y = 31
16 + 5y = 31
5y = 31- 16
y = 15 / 5
y = 3 (equation 2)
sub equation 2 into equation 1
x = 8 - y
= 8 - 3
= 5