solve the system of equations
7x−3y=20

y=5x−4

x=

y=

x = - 1, y = - 9

Step-by-step explanation:

Given the 2 equations

7x - 3y = 20 → (1)

y = 5x - 4 → (2)

Substitute y = 5x - 4 into (1)

7x - 3(5x - 4) = 20

7x - 15x + 12 = 20

- 8x + 12 = 20 ( subtract 12 from both sides )

- 8x = 8 ( divide both sides by - 8 )

x = - 1

Substitute x = - 1 into (2) for corresponding value of y

y = (5 × - 1) - 4 = - 5 - 4 = - 9

Solution is (- 1, - 9)