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Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?

Examine this system of equations Which numbers can be multiplied by each equation so that when the two equations are added together the y term is eliminated class=

Respuesta :

calculista

Answer:

18 times the first equation and 8 times the second equation

Step-by-step explanation:

we have

[tex]\frac{1}{4}x-\frac{1}{6}y=5[/tex] ------> first equation

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

step 1

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

[tex]8(\frac{4}{5}x+\frac{3}{8}y)=10(8)[/tex]

[tex]\frac{32}{5}x+3y=80[/tex]

step 2

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

[tex]18(\frac{1}{4}x-\frac{1}{6}y)=5(18)[/tex]

[tex]\frac{18}{4}x-3y=90[/tex]

step 3

Adds the new equation 1 and equation 2

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

The y-term is eliminated

therefore

The answer is

18 times the first equation and 8 times the second equation

jrivera0206

Answer:

Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated?

1/5x + 3/4y = 9

2/3x - 5/6y = 8

Choice A: –10 times the first equation and 3 times the second equation

Choice B: 10 times the first equation and 3 times the second equation

Choice C: –3 times the first equation and 5 times the second equation

Choice D: 3 times the first equation and 5 times the second equation

The answer is B Mark thanks and brainliest.

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