Question

Find x and y. 4x-2=3y-1. y+3=3x-4

Answer 1

x = 4, y = 5.

Explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y = 1 (A)

-3x + y = -7 (B)

Multiply B by 3:

-9x + 3y = -21 (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.