Question

Use this system of equations to answer the questions that what number would you multiply the second equation

Answer 1

Complete question :

Use this system of equations to answer the questions that 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?

4x – 9y = 7

–2x + 3y = 4

Answer:

2 ; 3

Step-by-step explanation:

Given the equations :

4x – 9y = 7 - - - - - (1)

–2x + 3y = 4 - - - (2)

The number to multiply equation (2) by in other to eliminate the x-term :

We multiply equation (2) by 2 ; thus we have ;

4x - 9y = 7 - - - - (1)

-4x + 6y = 8 - - - - (2) ; adding (1) and (2)

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____ - 3y = 15

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The number to multiply equation (2) by in other to eliminate the y-term :

We multiply equation (2) by 3 ; thus we have ;

4x - 9y = 7 - - - - (1)

-6x + 9y = 12 - - - - (2) ; adding (1) and (2)

___________

-2x = 19

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