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Answer:
x=1 and y=−1
Step-by-step explanation:
Multiply the first equation by 5,and multiply the second equation by 6.
5(−3x−6y=3)
6(5x+5y=0)
Becomes:
−15x−30y=15
30x+30y=0
Add these equations to eliminate y:
15x=15
Then solve15x=15for x:
15x=15
15x
15
=
15
15
(Divide both sides by 15)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−3x−6y=3
Substitute1forxin−3x−6y=3:
(−3)(1)−6y=3
−6y−3=3(Simplify both sides of the equation)
−6y−3+3=3+3(Add 3 to both sides)
−6y=6
−6y
−6
=
6
−6
(Divide both sides by -6)
y=−1