Need ! the system of equations y=3/4x-4 and y=-x+3 is shown on the graph below. according to the graph, what is the solution to this system of equations? a. (4,-1). already know the answer.

(-4, 1)

Step-by-step explanation:

y =  3/4 x - 4 (1)

y = -x + 3(2)

Substituting y in equation (1)

-x + 3 = 3/4  x   -   4

collect like term, that is move the x variables to the left hand -side of the equation and then move the constant to the right hand side of the equation

-x -  3/4 x   =   -4 - 3

-7x /4  = -7

The negative sign on both the left and right hand side will cancel out each other

7x / 4 =  7

To get the value of x, multiply both-side of the equation by 4/7

7x/4  ×  4/ 7  =   7 × 4/7

x =   4

substitute x = 4 into equation (2)

y = -x + 3

y  =  -4 + 3

y = -1

x = 4   and y = -1

Therefore the solution to the system of the equation is (4, -1)

4, -1 took the test

Step-by-step explanation: