The equations 2x-y=-2, 3x+2y=5. and 22x+10y=7 are shown on the graph below

which system of equations has a solution of approximately (–0.3, 1.4)?

a.2x-y=-2 and 22x+10y=7

b. 3x+2y=5 and 4x-y=2

c. 4x-y=2 and 22x+10y=7

d. 2x-y=-2 and 3x+2y=5

The system of equations that has a solution of approximately (–0.3, 1.4) are 2x - y = - 2 and 22x + 10y = 7.

Step-by-step explanation:

See the graph attached.

The first equation is 2x - y = - 2 ........ (1)

Rearranging in intercept form, we get

.

Therefore, the equation passes through (-1,0) ans (0,2) points.  

Therefore, the pink color graph is represented by this equation (1).

Again, another equation is 22x + 10y = 7 ........ (2)

Rearranging in intercept form, we get

Therefore, the equation passes through ans points.  

Therefore, the blue color graph is represented by this equation (2).

Now, it is clear from the graph that the pink line and the blue line has an intersection at (-0.3,1.4).

Therefore, the system of equations that has a solution of approximately (–0.3, 1.4) are 2x - y = - 2 and 22x + 10y = 7. (Answer)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you