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Answer :

Answer:

x=2; y=1

Step-by-step explanation:

Since the triangle is equilateral, which means three sides have the same length.

So we have:4x-y=2x+3y=7

[tex]4x-y=2x+3y\\4x-y+y=2x+3y+y\\4x=2x+4y\\2x=4y\\x=2y\\[/tex]

Since 2x+3y=7 and plug in x=2y

we have

[tex]2x+3y=7\\2(2y)+3y=7\\4y+3y=7\\7y=7\\y=1[/tex]

and since y=1

x=2