Respuesta :

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]

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