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BaLLatris [955]
4 years ago
10

Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added toge

ther, the y term is eliminated?

Mathematics
1 answer:
podryga [215]4 years ago
3 0

Answer:

18 times the first equation and 8 times the second equation

Step-by-step explanation:

we have

\frac{1}{4}x-\frac{1}{6}y=5 ------> first equation

\frac{4}{5}x+\frac{3}{8}y=10 ------> second equation

step 1

Multiply the second equation  by 8 both sides to remove the fraction in the variable y

8(\frac{4}{5}x+\frac{3}{8}y)=10(8)

\frac{32}{5}x+3y=80

step 2

Multiply the first equation  by 18 both sides to obtain the coefficient -3 in the variable y

18(\frac{1}{4}x-\frac{1}{6}y)=5(18)

\frac{18}{4}x-3y=90

step 3

Adds the new equation 1 and equation 2

\frac{18}{4}x-3y=90\\\\ \frac{32}{5}x+3y=80\\ -------

The y-term is eliminated

therefore

The answer is

18 times the first equation and 8 times the second equation

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