Answer:
The solution of the system of equations is the point [tex](-2,-2)[/tex]
Step-by-step explanation:
we have
[tex]y=5x+8[/tex] ----> equation A
[tex]2x-3y=2[/tex] ----> equation B
substitute the equation A in the equation B and solve for x
[tex]2x-3(5x+8)=2[/tex]
[tex]2x-15x-24=2[/tex]
[tex]13x=-26[/tex]
[tex]x=-2[/tex]
substitute the value of x in the equation A
[tex]y=5(-2)+8=-2[/tex]
The solution of the system of equations is the point [tex](-2,-2)[/tex]
