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Solve each system by elimination
-3x-6y=-3
5x+5y=0

Sagot :

Sashakay

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

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