Answer:
The solution of the system of equations is the point [tex](2,-5)[/tex]
Step-by-step explanation:
we have
[tex]3x+2y=-4[/tex] -----> equation A
[tex]4x-y=13[/tex] -----> equation B
Multiply the equation B by 2 both sides
[tex]2*(4x-y)=2*13[/tex]
[tex]8x-2y=26[/tex] ------> equation C
Adds equation A and equation C
[tex]3x+2y=-4\\8x-2y=26\\----------\\3x+8x=-4+26\\11x=22\\x=2[/tex]
Find the value of y
Substitute the value of x in equation A
[tex]3(2)+2y=-4[/tex]
[tex]2y=-4-6[/tex]
[tex]y=-10/2=-5[/tex]
The solution of the system of equations is the point [tex](2,-5)[/tex]
