Question

I need help with algebra, Can someone help me pls?
Y=2x-4
X+2y=10

Answer 1

(
`(18)/(5)`,
`(16)/(5)` )

Explanation:

Given the 2 equations

y = 2x - 4 → (1)

x + 2y = 10 → (2)

Substitute y = 2x - 4 into (2)

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

x + 4x - 8 = 10

5x - 8 = 10 ( add 8 to both sides )

5x = 18 ( divide both sides by 5 )

x =
`(18)/(5)`

Substitute this value into (1) for corresponding value of y

y = 2(
`(18)/(5)` ) - 4 =
`(36)/(5)` -
`(20)/(5)` =
`(16)/(5)`

solution is (
`(18)/(5)`,
`(16)/(5)` )

Answer 2

Y=2x-4
X=2
X+2y=10
X+2x0=10
X+0=10 therefore, x=10