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maks197457 [2]
2 years ago
15

X=16-4y. systems of equations 3x+4y=8 substitution

Mathematics
1 answer:
alina1380 [7]2 years ago
6 0

Answer:

x=-4  y=5

Step-by-step explanation:

Rewrite equations:

x=−4y+16;3x+4y=8

Step: Solvex=−4y+16for x:

x=−4y+16

Step: Substitute−4y+16forxin3x+4y=8:

3x+4y=8

3(−4y+16)+4y=8

−8y+48=8(Simplify both sides of the equation)

−8y+48+−48=8+−48(Add -48 to both sides)

−8y=−40

−8y

−8

=

−40

−8

(Divide both sides by -8)

y=5

Step: Substitute5foryinx=−4y+16:

x=−4y+16

x=(−4)(5)+16

x=−4(Simplify both sides of the equation)

Answer:

x=−4 and y=5

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