The equation's X-y= 2, -2y=-2, X+ y = 2, and x+2y=-2 are shown on the graph below.
Which system of equations has a solution of approximately (0.7, -1.4)?

A.) x-y=2 and x+2y=-2
B.) x-2y=-2 and x+y=2
C.) x-y=2 and x-2y=-2
D.) x+y=2 and x+2y=-2

Respuesta :

Answer:

A.) x-y=2 and x+2y=-2

Step-by-step explanation:

For option A, we have:

x-y=2

x+2y=-2

Subtract the first equation from the second, to get:

2y--y=-2-2

This implies that:

2y+y=-2-2

Simplify to get:

3y=-4

Divide both sides by 3 to get:

[tex]y = - \frac{4}{3} = - 1.3[/tex]

We substitute y=-1.3 into the first equation to get:

x--1.3=2

x+1.3=2

x=2-1.3

x=0.7

The solution is (0.7,-1.3), which is approximately (0.7, -1.4)

By inspection, all the other factors have solutions not close to (0.7, -1.4)

Answer: A

Step-by-step explanation:

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