Question

Solve the system using the substitution method
6x - 2y = -4
y= 3x + 2

Answer 1

x= -0.66+0.33

Explanation:

you already have what y equals, so the next step is to plug in the solution for y into 6x - 2y = - 4

-plug in y = 3x + 2 into 6x - 2y = - 4 through the y variable

-making the equation now 6x - 2(3x + 2) = - 4

-now solve for x by distributing -2 to 3x and +2

6x - 6x - 4 = - 4 ------> - 4 = - 4

6x - 2y = - 4 -----> 6x = - 4 + 2y -----> x = - 0.66 + 0.33

Answer 2

Explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution