Question

Solve the system of equations.
x=6y−3

2x+7y=13

Answer 1

Substitute x = 6y − 3 into the second equation:
2(6y − 3) + 7y = 13
12y − 6 + 7y = 13
19y − 6 = 13
19y = 19
y = 1

Then x = 6(1) − 3 = 3.

Solution: (x, y) = (3, 1).