Q:

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.

Accepted Solution

A:
Multiply the first equation by 7 and the second equation by 2, and then add.Step-by-step explanation:2f - 5g=-9-7f + 3g=4To eliminate any variable , we need to make the coefficients same with different sign and add itthe coefficient of 'f' in first equation is 2the coefficient of 'f' in second equation is -7We already have different sign so we make the coefficients sameTo make the coefficient same , we multiply the first equation by 7  and second equation by 2So equation becomes14f - 35g = -63-14f + 6g = 8Now when we add both equations, 'f' gets cancelled-29g = -55