Question

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

Answer 1

Answer:

($\frac{18}{5}$, $\frac{16}{5}$ )

Step-by-step 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 = $\frac{18}{5}$

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

y = 2($\frac{18}{5}$ ) - 4 = $\frac{36}{5}$ - $\frac{20}{5}$ = $\frac{16}{5}$

solution is ($\frac{18}{5}$, $\frac{16}{5}$ )

Answer 2

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