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Solve the system of equations using the substitution method.

{2x+8y=4x=−3y+5



Enter your answers in the boxes.

x=


y=

Sagot :

MrRoyalidn

Answer:

[tex]x = 14[/tex]

[tex]y = -3[/tex]

Step-by-step explanation:

Given

[tex]2x + 8y =4[/tex]

[tex]x = -3y + 5[/tex]

Required

Solve

Substitute [tex]x = -3y + 5[/tex] in [tex]2x + 8y =4[/tex]

[tex]2(-3y + 5) + 8y =4[/tex]

Open bracket

[tex]-6y + 10 + 8y =4[/tex]

Collect like terms

[tex]-6y + 8y =4-10[/tex]

[tex]2y =-6[/tex]

Divide both sides by 2

[tex]y = -3[/tex]

Substitute [tex]y = -3[/tex] in [tex]x = -3y + 5[/tex]

[tex]x = -3 * -3 + 5[/tex]

[tex]x = 9+ 5[/tex]

[tex]x = 14[/tex]

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