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
