Question

I need help you solve this by using elimination and substitution thank you

Answer 1

Answer: Just use MathPapa.

Step-by-step explanation:

Answer 2

Answer:

See below both methods.

Step-by-step explanation:

9x + 6y = 18

-6x - 6y = -24

Elimination:

9x + 6y = 18

-6x - 6y = -24

Since 6y and -6y add to zero, add the equations to eliminate y and solve for x.

      9x + 6y = 18

(+)   -6x - 6y = -24

-------------------------

       3x        = -6

x = -2

Now we need to eliminate y and solve for x. Divide both sides of the second equation by 6 and multiply both sides of the second equation by 9 to get this new equation.

-9x - 9y = -36

Add this new equation to the first original equation to eliminate x.

      9x + 6y = 18

(+)  -9x - 9y = -36

-------------------------

            -3y = -18

y = 6

Solution: x = -2; y = 6

Substitution:

9x + 6y = 18

-6x - 6y = -24

Divide both sides of the first equation by 3. Divide both sides of the second equation by -6.

3x + 2y = 6    (Equation 1)

x + y = 4     (Equation 2)

Solve the second equation for x.

x = 4 - y

Substitute 4 - y for x in Equation 1 and solve for y.

3(4 - y) + 2y = 6

12 - 3y + 2y = 6

-y + 12 = 6

-y = -6

y = 6

Now substitute 6 for y in equation 2 and solve for x.

x + 6 = 4

x = -2

Solution: x = -2, y = 6