Answer:
(2, -3)
Solve the equation
[tex]\left \{ {{2x-3y=13} \atop {x+2y=-4}} \right.[/tex]
Rearrange like terms to the same side of the equation
[tex]\left \{ {{2x-3y=13} \atop {x=-4-2y}} \right.[/tex]
Substitute into one of the equations
[tex]2(-4-2y)-3y=13[/tex]
Apply the Distributive Property
[tex]-8-4y-3y=13[/tex]
Combine like terms
[tex]-8-7y=13[/tex]
Rearrange variables to the left side of the equation
[tex]-7y=13+8[/tex]
Calculate the sum or difference
[tex]-7y=21[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=-\frac{21}{7}[/tex]
Cross out the common factor
[tex]y=-3[/tex]
Substitute into one of the equations
[tex]x=-4-2\times(-3)[/tex]
Calculate
[tex]x=2[/tex]
The solution of the system is
[tex]\left \{ {{x=2} \atop {y=-3}} \right.[/tex]
I hope this helps you
:)
