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Use this system of equations to answer the questions that follow. 4x – 9y = 7 –2x + 3y = 4


What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?


What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?

Verified Answer :

Answer:

Step-by-step explanation:

The given system of equations is 4x - 9y = 7 and -2x + 3y = 4

In this system of equations in order to eliminate the x- terms we will multiply by a number so that coefficients of x may become same.

Therefore, to eliminate the x - terms we multiply second equation by 2.

Similarly to eliminate the y-terms we will multiply the equation by a number so that coefficient of y in both the equations become same.

Therefore, we will multiply second equation by 3.

In order to eliminate the x-terms, multiply by equation 2 by 2.

In order to eliminate the y-terms, multiply equation 2 by 3.

The system of equations are known as simultaneous equation. In order to determine the value of x and y, the question is using an elimination method.

4x – 9y = 7 equation 1

–2x + 3y = 4 equation 2

In order to eliminate the x-terms, the value of x in equation 1 and 2 has to be equal. x has a value of 4 in equation 1 and a value of -2 in equation 2. Therefore, multiply equation 2 by 2. The value of x now becomes -4.

In order to eliminate the y-terms, the value of y in equation 1 and 2 has to be equal. y has a value of -9 in equation 1 and a value of 3 in equation 2. Therefore, to make the values equal multiply equation 2 by 3.

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults


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