Answer :

calculista

Answer:

The solution is the point (2,-5)

Step-by-step explanation:

we have

[tex]3x+2y=-4[/tex] ------> equation A

[tex]4x-y=13[/tex] ------> equation B

Multiply 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]2y=-10[/tex]  

[tex]y=-5[/tex]  

The solution is the point (2,-5)

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