Answer:
x=0.5 y=4
Step-by-step explanation:
Let's solve your system by substitution.
2x+0.5y=3;x+2y=8.5
Rewrite equations:
x+2y=8.5;2x+0.5y=3
Step: Solvex+2y=8.5for x:
x+2y=8.5
x+2y+−2y=8.5+−2y(Add -2y to both sides)
x=−2y+8.5
Step: Substitute−2y+8.5forxin2x+0.5y=3:
2x+0.5y=3
2(−2y+8.5)+0.5y=3
−3.5y+17=3(Simplify both sides of the equation)
−3.5y+17+−17=3+−17(Add -17 to both sides)
−3.5y=−14
−3.5y
−3.5
=
−14
−3.5
(Divide both sides by -3.5)
y=4
Step: Substitute4foryinx=−2y+8.5:
x=−2y+8.5
x=(−2)(4)+8.5
x=0.5(Simplify both sides of the equation)
Answer:
x=0.5 and y=4
