X+2y=10 Y=4x-22 solve the system by substitution method

(6, 2)

Step-by-step explanation:

Given the 2 equations

x + 2y = 10 → (1)

y = 4x - 22 → (2)

Substitute y = 4x - 22 into (1)

x + 2 (4x - 22) = 10 ← distribute and simplify left side

x + 8x - 44 = 10

9x - 44 = 10 (add 44 to both sides)

9x = 54 (divide both sides by 9)

x = 6

Substitute x = 6 into (2) for corresponding value of y

y = (4 * 6) - 22 = 24 - 22 = 2

Solution is (6, 2)

{x, y} = {3,5}