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Solve by the elimination method. [tex]4x+8y=40\\-4x+y=14[/tex]

Sagot :

notleoprobably

Answer:

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

Step-by-step explanation:

We can add these 2 equations together to eliminate [tex]x[/tex] from the equation, leaving us to solve for [tex]y[/tex].

[tex](4x+8y) + (-4x+y) = (40) + (14)\\9y = 54\\\boxed{y = 6}[/tex]

Now we can solve for [tex]x[/tex] through substituting [tex]y[/tex].

[tex]4x+8y=40\\4x+8(6)=40\\4x+48=40\\4x=-8\\\boxed{x=-2}[/tex]

We can check our answers by substituting [tex]x[/tex] and [tex]y[/tex] into one of the equations and seeing if the equation is true.

[tex]-4x+y=14\\-4(-2)+6=14\\8+6=14\\14=14[/tex]

LHS = RHS so our answers are correct.

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