Question

Solve the system of equations using substitution. Show your work
y=2x + 3
y=3x + 1

Answer 1

x=2 and y=7

Explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

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

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

=

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)