Question

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 the first equation?

what number would you multiply the second equation by in order to eliminate the y- term when adding the second equation?

Answer 1

I multiply second equation by 2 which becomes -4x+ 6y=8 and for y I multiply second equation by 3 which becomes -6x+9y=12

Answer 2

To eliminate the variable y, we will multiply equation 1 by 1 and equation 2 by 3 and add

To eliminate the variable x, we will multiply equation 2 by 1 and equation 1 by 2  and add the result

Given the system of equations;

4x-9y = 7 ........ 1  * 1

-2x+ 3y= 4 ....... 2 * 2

We will eliminate variables using the elimination method

To eliminate the variable x, we will multiply equation 2 by 1 and equation 1 by 2  and add the result to have:

4x-9y = 7

-4x+ 6y= 8

Adding both expressions

9y + 6y = 7 + 8

15y = 15

y = 15/15

y = 1

Similarly, To eliminate the variable y, we will multiply equation 1 by 1 and equation 2 by 3 and add the result to have:

4x-9y = 7

-6x+ 9y= 12

Adding both

4x - 6x = 7+ 12

2x = 19

x = 192

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