SOLUTION: Write a pair of equivalent equations which can be solved by adding or subtracting 1) 2x+3y=10 3x+4y=-2 2) 7x-6=10 2x+5y=23

Question 1020152: Write a pair of equivalent equations which can be solved by adding or subtracting
1) 2x+3y=10
3x+4y=-2

2) 7x-6=10
2x+5y=23
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
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Write a pair of equivalent equations which can be solved by adding or subtracting
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1)        

2x + 3y = 10,   (1)
3x + 4y = -2.   (2) 

Multiply the equation (1) by 3 (both sides) and the equation (2) by 2. You will get an equivalent system

6x + 9y = 30,   (1')
6x + 8y = -4    (2')

The last system can be solved by distraction.


2)        

7x - 6  = 10,
2x + 5y = 23.

Are you sure you correctly wrote this system?

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