Solve the system by elimination.

   x=−2 and y=−5

Step-by-step explanation:    2x−y=1;12x−5y=1

Multiply the first equation by -6,and multiply the second equation by 1.

−6(2x−y=1)

1(12x−5y=1)

Becomes:

−12x+6y=−6

12x−5y=1

Add these equations to eliminate x:

y=−5

Then solvey=−5for y:

y=−5

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

Write down an original equation:

2x−y=1

Substitute−5foryin2x−y=1:

2x−(−5)=1

2x+5=1(Simplify both sides of the equation)

2x+5+−5=1+−5(Add -5 to both sides)

2x=−4

2x

2

=

−4

2

(Divide both sides by 2)

x=−2

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step-by-step explanation: