Question

Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1 y = 3x – 2 A coordinate grid with 2 lines. The first line passes through (0, 1) and (5, negative 2). The second line passes through (0, negative 2) and (1, 1). the lines appear the intersect at a point that is almost to 1 and almost to 1. (0.45, 0.88) (0.88, 0.65) (0.88, 1.1) (1.3, 0.88)

Answer 1

(0.88, 0.65)

Explanation:

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Answer 2

(0.88, 0.65)

Explanation:

Given that the two equations of the line are:

y =( -2/5)x + 1 and y = 3x – 2. To find the solution, we have to solve the equations simultaneously.

y =( -2/5)x + 1 . . . 1)

y = 3x – 2 . . . 2)

Subtracting equation 1 from equation 2:

3.4x -3 = 0

3.4x = 3

Dividing through by 3.4

3.4x/3.4 = 3/3.4

x = 0.88

To find y, substitute x = 0.88 in equation 2:

y = 3(0.88) - 2

y = 2.65 - 2

y = 0.65

This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)