Question

Solve each system to find the answer

Answer 1

Given:

The system of equations is

`5g+4k=10`

`-3g-5k=7`

To find:

The solution of given system of equations.

Solution:

We have,

`5g+4k=10` ...(i)

`-3g-5k=7` ..(ii)

Multiply (i) by 5 and (ii) by 4.

`25g+20k=50` ...(iii)

`-12g-20k=28` ..(iv)

Adding (iii) and (iv), we get

`25g-12g=50+28`

`13g=78`

Divide both sides by 13.

`g=(78)/(13)`

`g=6`

Put g=6 in (i).

`5(6)+4k=10`

`30+4k=10`

`4k=10-30`

`4k=-20`

Divide both sides by 4.

`k=-5`

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.