Question

What is the solution to the system of equations below?
Y=-3x+5 and y=4x-2

Answer 1

9514 1404 393

Answer:

(x, y) = (1, 2)

Explanation:

You can solve this by subtracting the first equation from the second.

(y) - (y) = (4x -2) -(-3x +5)

0 = 7x -7 . . . . . .simplify

0 = x -1 . . . . . . . divide by 7

1 = x . . . . . . . . . .add 1

Use the first equation to find y:

y = -3(1) +5

y = 2

The solution is (x, y) = (1, 2).