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Solve this system of equations.
1= -2x +9y
x = 2y + 2

User Rorschach
by
5.4k points

2 Answers

11 votes

Answer and Step-by-step explanation:

I will solve your system by substitution.

x=2y+2;1=−2x+9y

Step: Solvex=2y+2for x:

Step: Substitute 2y+2 for x in 1=−2x+9y:

1=−2x+9y

1=−2(2y+2)+9y

1=5y−4(Simplify both sides of the equation)

1+−5y=5y−4+−5y(Add -5y to both sides)

−5y+1=−4

−5y+1+−1=−4+−1(Add -1 to both sides)

−5y=−5

−5y/-5=-5/-5

(Divide both sides by -5)

y=1

Step: Substitute 1 for y in x=2y+2:

x=2y+2

x=(2)(1)+2

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

User Braydie
by
4.9k points
5 votes
It’s x=9y+2x !!!!!!!
User Simon Walker
by
4.8k points