28 November, 18:01

# Which statement correctly explains how Mari could find the solution to the following system of linear equations usingelimination?{2f-5g=-9{-7f+3g=4Multiply the first equation by 7 and the second equation by 2, and then add.Multiply the first equation by 3 and the second equation by 5, and then subtract.Multiply the first equation by - 7 and the second equation by 2, and then add.Multiply the first equation by - 3 and the second equation by - 5, and then subtract.

+2
1. 28 November, 18:12
0
Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable, we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is - 7

We already have different sign so we make the coefficients same

To make the coefficient same, we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = - 63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = - 55