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In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x terms.
7x+3y - 5
2x+5y = -11

What are the resulting equations?

A. 14x+6y= 10
-14X-35y=77

B. 14x+by = 10
-14x+35y = 77

C. 14x+by = 10
-14x-35y =-77

D. -14x-6y=10
14x+35y=-77

Respuesta :

absor201

The correct answer is:

A. 14x+6y= 10

-14X-35y=77

Further explanation:

One method of solving system of linear equations in two variables is elimination method. In this method, the co-efficient of one variable have to be equated so that variable can be removed to get the value of other variable.

Given equations are:

[tex]7x+3y=5\ \ \ \ \ Eqn\ 1\\2x+5y=-11\ \ \ \ \ Eqn 2[/tex]

As we have to eliminate x, then the co-efficient of x will be equated. For this purpose both equations will be multiplied with some constant.

So,

multiplying equation one with 2

[tex]2(7x+3y)=2(5)\\14x+6y=10[/tex]

Multiplying equation 2 by -7

[tex]-7(2x+5y)=-7(11)\\-14x-35y=77[/tex]

So,

The correct answer is:

A. 14x+6y= 10

-14X-35y=77

Keywords: Linear Equations, Elimination method

Learn more about linear equations at:

  • brainly.com/question/4770453
  • brainly.com/question/4771355

#LearnwithBrainly

Answer:

A

Step-by-step explanation:

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