(2x +0.5y = 3
(x + 2y = 8.5

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)

x=0.5 and y=4

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