Let's solve your system by substitution.
y=2x+1;y=4x−1
Step: Solve y=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=4x−1:
y=4x−1
2x+1=4x−1
2x+1+−4x=4x−1+−4x(Add -4x to both sides)
−2x+1=−1
−2x+1+−1=−1+−1(Add -1 to both sides)
−2x=−2
−2x
−2
=
−2
−2
(Divide both sides by -2)
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
