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Answered

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solve the linear equations by elimintation! NEED ANSWE ASAP!!!!

4x-9y=4
6x+15y=-13

Sagot :

Answer:

x=−1/2

and y=−2/3

Step-by-step explanation:

Multiply the first equation by 5,and multiply the second equation by 3.

5(4x−9y=4)

3(6x+15y=−13)

Becomes:

20x−45y=20

18x+45y=−39

Add these equations to eliminate y:

38x=−19

Then solve38x=−19for x:

38x=−19

38x

38

=

−19

38

(Divide both sides by 38)

x=

−1

2

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

Write down an original equation:

4x−9y=4

Substitute

−1

2

forxin4x−9y=4:

4(

−1

2

)−9y=4

−9y−2=4(Simplify both sides of the equation)

−9y−2+2=4+2(Add 2 to both sides)

−9y=6

−9y

−9

=

6

−9

(Divide both sides by -9)

y=

−2

3

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