342,584 views
20 votes
20 votes
Consider the following pair of equations.

Y = x + 4
Y = -2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write down the solution in (x, y) corn.

User Zyrg
by
3.2k points

1 Answer

16 votes
16 votes

Answer:

(- 2, 2 )

Explanation:

Given the 2 equations

y = x + 4 → (1)

y = - 2x - 2 → (2)

Substitute y = x + 4 into (2)

x + 4 = - 2x - 2 ( add 2x to both sides )

3x + 4 = - 2 ( subtract 4 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Substitute x = - 2 into either of the 2 equations abd evaluate for y

Substituting into (1)

y = - 2 + 4 = 2

solution is (- 2, 2 )

User Kardave
by
2.8k points
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