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27 votes
What is the solution to the system of equations? y = x + 3 3x - 4y = -7

User Faziki
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1 Answer

21 votes
21 votes

Answer:

x=-5 & y=-2

Explanation:

Step 1: Solve y=x+3 for y:

y=x+3

Step 2: Substitute x+3 for y in 3x-4y =-7:

3x-4y=-7

3x-4(x+3)=-7

-x-12=-7 (Simplify both sides of the equation)

-x-12+12=-7+12 (Add 12 to both sides)

-x=5

-x/1=-5/-1 (Divide both sides by -1)

Step 3: Substitute -5 for x in y=x+3:

y=x+3

y=-5+3

y=-2 (Simplify both sides of the equation)

x=-5 and y=-2

User BStruthers
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