Sketch a system of two linear equations whose solution is (-1,3).

The two equations are  y=x+4 and y=2x+5.

Step-by-step explanation:

Given that (-1,3) is solutions of the system of two linear equations.

Let y=mx + c be the generalized equation of line having slope m and y-intercept c.

For different values of m and c, there are corresponding linear equations.

As the lines are passing through the point (-1,3), so, pot x=-1 and y=3 in the generalized equation, we have

All the real values of c and m which satisfy equation (i) are the desired linear equations.

As we required only two linear equations, take any two values of c and m.

For c=4 and m=1 (satisfying equation (i))

and for c=5, m=2

Hence, the two equations are  y=x+4 and y=2x+5.

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