Find the solution to the system of linear equations using substitution

Question

y=3x-5

y=-6x+4

 

Enter the system's solution as an ordered pair including the comma. if the solution is none or it has infinitely many solutions please say so

Answer 1

You need to substitute the 3x - 5 for the y in the equation y= -6x +4, then solve for x.

 

3x -5 = -6x + 4

9x =9

X = 1

 

Now, substitute the 1 for the x in either equation. 

 

Y = 3 (1) - 5

Y = 3 - 5

Y = -2

 

The solution is (1, - 2)