Question

3. What is the solution of the system of equations 3x +2y =10 and – 6x – y=-14?

Answer 1

x=2 y=2

Explanation:

Rewrite equations:

−6x−y=−14;3x+2y=10

Step: Solve−6x−y=−14for y:

−6x−y=−14

−6x−y+6x=−14+6x(Add 6x to both sides)

−y=6x−14

−y

−1

=

6x−14

−1

(Divide both sides by -1)

y=−6x+14

Step: Substitute−6x+14foryin3x+2y=10:

3x+2y=10

3x+2(−6x+14)=10

−9x+28=10(Simplify both sides of the equation)

−9x+28+−28=10+−28(Add -28 to both sides)

−9x=−18

−9x

−9

=

−18

−9

(Divide both sides by -9)

x=2