mackinziegibson
mackinziegibson mackinziegibson
  • 01-02-2018
  • Mathematics
contestada

Solve the system of equations using the substitution method. 2x+8y=4 x=−3y+5

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Kaikerscupcake
Kaikerscupcake Kaikerscupcake
  • 01-02-2018
Since x=-3y+5, substitute x for -3y+5. 

2(-3y+5)+8y=4

Distribute. 

-6y+10+8y= 4

2y+10= 4

Subtract 10 on both sides. 

2y=-6

Divide by 2.

y=-3

Plug in y=-3. 

x=-3(-3)+5
x= 9+5
x=14

(14,-3)

We can check this. 

2(14)+8(-3)=4
28-24=4
4=4 <== this works

I hope this helps!
~kaikers
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