Question

Using either substitution or graphing (or elimination) to determine the solution to the system of equations.

y= 3x+8
y=-3x +26

Answer 1

x=3 and y=17

Explanation:

Elimination Method

y =3x + 8;y = −3x + 26

Step: Solve y = 3x + 8 for y:

y=3x+8

Step: Substitute 3x + 8 for y in y=−3x+26:

y=−3x+26

3x+8=−3x+26

3x+8+3x=−3x+26+3x(Add 3x to both sides)

6x+8=26

6x+8+−8=26+−8(Add -8 to both sides)

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x = 3

Step: Substitute 3 for x in y=3x+8:

y=3x+8

y=(3)(3)+8

y=17(Simplify both sides of the equation)

x=3 and y=17