Question

Y = 3x – 5
y= 1/2x + 5
Solve

Answer 1

(4, 7 )

Explanation:

y = 3x - 5 → (1)

y =
`(1)/(2)` x + 5 ( multiply through by 2 to clear the fraction )

2y = x + 10 → (2)

Substitute y = 3x - 5 into (2)

2(3x - 5) = x + 10 ← distribute parenthesis on left side

6x - 10 = x + 10 ( subtract x from both sides )

5x - 10 = 10 ( add 10 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Substitute x = 4 into (1) and evaluate for y

y = 3(4) - 5 = 12 - 5 = 7

solution is (4, 7 )