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Collin wants to solve this system of equations. Which number can he multiply the first equation by so that when the two equations are added together, the x term is eliminated?
1/2x + 1/4y = 5
2 x + 3/8y = 5

–4
–2
2
4

Respuesta :

Colin can multiply first equation by -4 so that when the two equations are added together, the x term is eliminated.

Step-by-step explanation:

Given system of equations is;

1/2x + 1/4y = 5

2 x + 3/8y = 5

Now,

For eliminating x, we need negative 2 with x.

If we multiply -2 with first equation;

[tex]-2(\frac{1}{2}x+\frac{1}{4}y=5)\\-x-\frac{1}{2}y=-10[/tex]

It will not cancel when added.

Therefore;

We will multiply the first equation by -4.

[tex]-4(\frac{1}{2}x+\frac{1}{4}y=5)\\-2x-y=-20[/tex]

Colin can multiply first equation by -4 so that when the two equations are added together, the x term is eliminated.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/11286417
  • brainly.com/question/12884373

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