The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x - 5 y = 15, and x + 2 y = 0 are shown on the graph below. on a coordinate plane, there are 4 lines. green line goes through (0, 0) and (2, -1). blue line goes through (0, -2) and (2, -1). pink line goes through (0.75, -2), and (2.5, 0). purple line goes through (0, 1.5) and (2, 0). which system of equations has a solution of approximately (1.8, –0.9)?

x + 2 y = 0 is the equation that has the value (1.8, -0.9).

Step-by-step explanation:

The solution is (1.8,-0.9) and the given equations are

x-2y= 4 1

4x+5y= 82

6x-5y=153

x+2y=04

Substitute the solution in all the equations and equate the resulting values.

∴ Substitute (1.8, -0.9) in equation 1.

1.8-2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

Substitute (1.8, -0.9) in equation 2.

4(1.8)+5(-0.9)=8

7.2-4.5=8.

2.7≠8.

Substitute (1.8, -0.9) in equation 3.

6(1.8)-5(-0.9)=15.

10.8 + 4.5=15

15.3≠15.

Substitute (1.8, -0.9) in equation 4.

1.8+2(-0.9)=0.

1.8-1.8=0.

0=0.

∴x + 2 y = 0 is the equation that has the value (1.8, -0.9).