Question

How to get the answer for y=2x+3,4x-3y=1 substitution method

Answer 1

x=−5 and y=−7

Explanation:

Step: Solve y=2x+3for y:

y=2x+3

Step: Substitute2x+3foryin4x−3y=1:

4x−3y=1

4x−3(2x+3)=1

−2x−9=1(Simplify both sides of the equation)

−2x−9+9=1+9(Add 9 to both sides)

−2x=10

−2x

−2

=

10

−2

(Divide both sides by -2)

x=−5

Step: Substitute−5forxiny=2x+3:

y=2x+3

y=(2)(−5)+3

y=−7(Simplify both sides of the equation)