Question

Here is a system of equations.y=3x-6y=x-4Graph system. Then write a solution. Note that you can also answer no solution or infinity many solutions.

Answer 1

Given

y=3x-6 ----(1)

y=x-4 ----(2)

Find

solution of these equations

Explanation

Mathmatically,

Substituting the value of y from equation 2 to 1

x-4 = 3x-6

6-4=3x-x

2=2x

x=1

Putting this value in equation 2

y=1-4

y=-3

Graphically

(0,-6) and (2,0) are the solutions of first equation

(0,-4) and (4,0) are the solution of second equation

Final Answer

(1,-3) is solution of given equations