Question

Solve the system of linear equations by substitution.

4x−2y=14
y=12x−1

Answer 1

Answer: x=-3/5 y=-41/5

Step-by-step explanation: Rewrite equations:

y=12x−1;4x−2y=14

Step: Solvey=12x−1for y:

y=12x−1

Step: Substitute12x−1foryin4x−2y=14:

4x−2y=14

4x−2(12x−1)=14

−20x+2=14(Simplify both sides of the equation)

−20x+2+−2=14+−2(Add -2 to both sides)

−20x=12

−20x

−20

=

12

−20

(Divide both sides by -20)

x=

−3

5

Step: Substitute

−3

5

forxiny=12x−1:

y=12x−1

y=12(

−3

5

)−1

y=

−41

5

(Simplify both sides of the equation)