Question

will someone please help me

Answer 1

−2y = 10 − 5x
−3y = −4x +15

Solve for (x, y) using the elimination method. Show all work.

Answer 2

Step: Solve−2y=−5x+10for y:
−2y=−5x+10
−2y−2=−5x+10−2(Divide both sides by -2)
y=52x−5

Step: Substitute52x−5foryin−3y=−4x+15:
−3y=−4x+15
−3(52x−5)=−4x+15
−152x+15=−4x+15(Simplify both sides of the equation)
−152x+15+4x=−4x+15+4x(Add 4x to both sides)
−72x+15=15
−72x+15+−15=15+−15(Add -15 to both sides)
−72x=0
−72x−72=0−72(Divide both sides by (-7)/2)
x=0

Step: Substitute0forxiny=52x−5:
y=52x−5
y=52(0)−5
y=−5(Simplify both sides of the equation)

Answer:
x=0 and y=−5