Answer
(4, 2)
Work Step by Step
Insert the equation for y in terms of x into the first equation, and solve for x:
4x - 5(3x - 10) = 6
4x - 15x + 50 = 6
-11x + 50 = 6
-11x = -44
x = 4
Let x = 4 in the second equation to solve for y:
y = 3(4) - 10
y = 2
Check the solution (4, 2) in the first equation:
4(4) - 5(2) = 6
16 - 10 = 6
6 = 6; True