Given that,
The equations : 2f-5g=-9 and -7f+3g=4
To find,
The solution of the above equations.
Solution,
We have,
2f-5g=-9 ....(1)
-7f+3g=4 ......(2)
Multiply equation (1) by 7 and equation (2) by 2.
14f-35g=-63 ....(3)
-14f+6g=8 ......(4)
Add equation (3) and (4)
14f-35g -14f+6g = -63 + 8
-29g = -55
g = 55/29
g = 1.89
Put the value of g in equation (1).
2f-5(1.89)=-9
2f = -9+5(1.89)
f = 0.225
Hence, the solution of the above equations are g = 1.89 and f = 0.225.