Answer:
x=3 and y= -1
Step-by-step explanation:
Step 1: Solve2x+y=5 for y:
2x+y=5
2x+y+−2x=5+−2x(Add -2x to both sides)
y=−2x+5
Step 2: Substitute−2x+5foryin5x+3y=12:
5x+3y=12
5x+3(−2x+5)=12
−x+15=12(Simplify both sides of the equation)
−x+15+−15=12+−15(Add -15 to both sides)
(Divide both sides by -1)
x=3
Step 3: Substitute3forxiny=−2x+5:
y=−2x+5
y=(−2)(3)+5
y=−1(Simplify both sides of the equation)
Answer:
x=3 and y=−1