Solve each system by using substitution
X= Y - 2 4X + Y = 2

(0, 2 )

Step-by-step explanation:

Given the 2 equations

x = y - 2 → (1)

4x + y = 2 → (2)

Substitute x = y - 2 into (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y - 8 = 2 ( add 8 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Substitute y = 2 into (1) for corresponding value of x

x = 2 - 2 = 0

Solution is (0, 2 )

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step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.