Question

Y=4x+14 y=6x+8 solve the system

Answer 1

x = 3

y = 26

( 3, 26)

Explanation:

y= 4x + 14

y=6x+8

You can use substitution

4x + 14 = 6x + 8

Subtract 8 on both sides

4x + 14 - 8 = 6x + 8 - 8

4x + 6 = 6x

Subtract 4x on both sides

4x - 4x + 6 = 6x - 4x

6 = 2x

Divide by 2 on both sides

6/2 = 2x/2

3 = x

Now that you have x you can use that to find y

y = 6x + 8

y = 6(3) + 8

y = 18 + 8

y = 26

x = 3

y = 26

( x, y )

( 3, 26 )

Answer 2

Step-by-step explanation: if you are doing subtitution then

Let's solve your system by substitution.

y=4x+14 and y=6x+8

Rewrite equations:

y=4x+14;y=6x+8

Step: Solvey=4x+14for y:

y=4x+14

Step: Substitute4x+14foryiny=6x+8:

y=6x+8

4x+14=6x+8

4x+14+−6x=6x+8+−6x(Add -6x to both sides)

−2x+14=8

−2x+14+−14=8+−14(Add -14 to both sides)

−2x=−6−2x−2=−6−2

(Divide both sides by -2)

x=3

Step: Substitute3forxiny=4x+14:

y=4x+14

y=(4)(3)+14

y=26(Simplify both sides of the equation)

Answer:

x=3 and y=26