Substitute 3x - 7 for y in 2x + 5y = 16, then solve for x:
2x + 5(3x - 7) = 16
Distribute the 5:
2x + 15x - 35 = 16
Add like terms:
17x - 35 = 16
Add 35 on both sides:
17x = 51
Divide 17 on both sides:
x = 3
Now that we found that x = 3, we can substitute that into y = 3x - 7 to solve for y
y = 3(3) - 7
y = 9 - 7
y = 2
So y = 2, that means the solution to the system of equations is (3, 2).
Hope this helps! :)
