Answer:
(2, -2)
Explanation:
Multiply the first equation by -3,and multiply the second equation by 1.
−3(5x+6y=−2)
1(15x+4y=22)
Becomes:
−15x−18y=6
15x+4y=22
Add these equations to eliminate x:
−14y=28
Then solve−14y=28for y:
−14y=28
−14y
−14
=
28
−14
(Divide both sides by -14)
y=−2
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
5x+6y=−2
Substitute−2foryin5x+6y=−2:
5x+(6)(−2)=−2
5x−12=−2(Simplify both sides of the equation)
5x−12+12=−2+12(Add 12 to both sides)
5x=10
5x
5
=
10
5
(Divide both sides by 5)
x=2
Answer:
x=2 and y=−2