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Solve this system of equations by
using the elimination method.
x - 5y = 16
4x - 2y = -8
( , )

Sagot :

Answer:

[tex]x = - 4[/tex]

[tex]y = - 4[/tex]

Step-by-step explanation:

Looking at these equations, we can see neither x or y have the same coefficient. Therefore, we need to multiply or divide, to make either the x or the y the same. It's less of a hassle to make the Xs the same, so let's do that. Taking the top equation and multiplying it by 4, we get:

[tex]4x - 20y = 64[/tex]

Now let's subtract the top equation from the bottom equation, leaving us with a third equation:

[tex] - 18y = 72[/tex]

Divide 72 by -18 to get

[tex]y = - 4[/tex]

Now let's substitute into our first equation to find X:

[tex]x + 20 = 16[/tex]

Leaving us with:

[tex]x = - 4[/tex]

Now let's substitute into the second equation to check our solution is correct:

[tex] - 16 + 8 = - 8[/tex]

This is correct, so the answer is X and Y are both equal to -4