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

x=2 y=2

Step-by-step 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