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Which is the best approximation for the solution of the system of equations? y = x + 1 y = 3x – 2

A. (0.45, 0.88)
B. (0.88, 0.65)
C. (0.88, 1.1)
D. (1.3, 0.88)

Respuesta :

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B. (0.88,0.65) would be the closest approximation for this system of these choices.

The given equations are  y = x + 1and y = 3x – 2

Substituting y value in equation 1 from 2 we have :

3x-2=x+1

Subtracting x both sides

3x-x-2=1

2x-2=1.

Adding 2 both sides

2x=3

Dividing by 2

x=1.5.

Substituting x value in y=x+1

y=1.5+1.

y=2.5.

Solution is (1.5,2.5)

The approximate solution  is B. (0.88, 0.65)

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