The first step is to name the equations to make the process of solving them easy.
[tex]6x+7y=-4....(1)\\5x-3y=-21....(2)[/tex]
The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).
[tex]-30x-35y=20...(3)\\30x-18y=-126...(4).[/tex]
The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;
[tex]-53y=-106....(5)\\=> y= 2.[/tex]
The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;
[tex]6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3[/tex]
The solution for this system of equations is [tex](-3,2)[/tex]
