Question

Solve the system of linear equations by substitution.

y=x−4

y=4x−10

With steps please.

Answer 1

x=2 y=-2 I think

Explanation:

x-4=4x-10 . y=2-4

6/3=3x/3 . y=-2

2=x or x=2

Answer 2

(2,-2)

Explanation:

y=x−4

y=4x−10

Since both equations are equal to y, we can set them equal to each other. Substituting x-4 = y into the second equation.

x-4 = 4x-10

Subtract x from each side

x-4-x = 4x-x-10

-4 = 3x-10

Add 10 to each side

-4+10 = 3x-10+10

6 = 3x

Divide by 3

6/3 = 3x/3

2= x

Now we need to find y.

y =x-4

y= 2-4

y = -2