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
