Solve 2y+4x=8 for​y​. Thenfindthevalueof​y​foreachvalueof ​x​=-2,1,3. ​y​ = _____________________ (equation)
When x=-2, y=______ x=1, y=______ x=3, y=______

Respuesta :

Answer: Answers below

Step-by-step explanation:

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

Solve for y.

[tex]2y+4x-4x=8-4x\\2y=8-4x\\y=\frac{8-4x}{2}[/tex]

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When x = -2; y = 8

[tex]y=\frac{8-4(-2)}{2}\\y=\frac{8+8}{2}\\ y=\frac{16}{2}\\ y=8[/tex]

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When x = 1 ; y = 2

[tex]y=\frac{8-4(1)}{2}\\y=\frac{8-4}{2}\\ y=\frac{4}{2}\\ y=2[/tex]

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When x = 3 ; y = -2

[tex]y=\frac{8-4(3)}{2}\\y=\frac{8-12}{2}\\ y=\frac{-4}{2}\\ y=-2[/tex]