1.

Find x+y if 2x-5y=-6 and 4x-3y=-12

Answer»

ANSWER:

x= -3 and y= 0

Step-by-step EXPLANATION:

Step: Solve2x−5y=−6for x:

2x−5y=−6

2x−5y+5y=−6+5y(Add 5y to both sides)

2x=5y−6

2x

2

=

5y−6

2

(Divide both sides by 2)

x=

5

2

y−3

Step: Substitute

5

2

y−3forxin4x−3y=−12:

4x−3y=−12

4(

5

2

y−3)−3y=−12

7y−12=−12(SIMPLIFY both sides of the EQUATION)

7y−12+12=−12+12(Add 12 to both sides)

7y=0

7y

7

=

0

7

(Divide both sides by 7)

y=0


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