Question

Y=2x+1 and y=3x.

At what x-values are the equations equal?


x = 1 and x = 3


x = 0 and x = 1


x = 1 and x = -1


x = 2 and x = 3

Answer 1

x = 1 and x = 3

Explanation:

Let's solve your system by substitution.

y=2x+1;y=3x

Step: Solvey=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=3x:

y=3x

2x+1=3x

2x+1+−3x=3x+−3x(Add -3x to both sides)

−x+1=0

−x+1+−1=0+−1(Add -1 to both sides)

−x=−1

−x

−1

=

−1

−1

(Divide both sides by -1)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3