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


Sagot :

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

Answer:

([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )

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 = [tex]\frac{18}{5}[/tex]

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

y = 2([tex]\frac{18}{5}[/tex] ) - 4 = [tex]\frac{36}{5}[/tex] - [tex]\frac{20}{5}[/tex] = [tex]\frac{16}{5}[/tex]

solution is ([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )