Solve the system using elimination show all work for full credit. X + 3y = -14
4x - 3y = 2
Help me

x = −12/5 and y = −58/15

Step-by-step explanation:

x+3y=−14

4x−3y=2

Add these equations to eliminate y:

5x = −12

Then solve 5x = −12 for x:

5x = −12

5x/5 = −12/5 (Divide both sides by 5)

x = −12/5

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

x + 3y = −14

Substitute −12/5 for x in x + 3y = −14:

−12/5 + 3y = −14

3y + −12/5 = −14

(Simplify both sides of the equation)

3y + −12/5 + 12/5 = −14 + 12/5

(Add 12/5 to both sides)

3y = −58/5

3y/3 = −58/5/3

(Divide both sides by 3)

y = −58/15