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Q.

If the pair of linear equations are 3x + 2y + 25 = 0, and 2x + y + 10 = 0 then the value of x and y.


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a

x = 5 and y = -20

b

x = -20 and y = 5

c

x = 7 and y = -25

d

x = -25 and y = 7 

answer is A.

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Detailed Solution

We have a given set of equation:
3x + 2y + 25 = 0......(1)
2x + y + 10 = 0.........(2)
We can write the set of linear equations as:
3x + 2y = −25......(3)
2x + y = − 10.......(4)
So, by applying substitution method for the given set of linear equations:
From equation (4), we can write:
3x + 2y = −25
⇒2y = − 25 − 3x
⇒y= −25−3x 2 .......(5)  
Now, we get the value of y in terms of x.
Put the value of y in equation (3), we get:
⇒ 2x + y = − 10
⇒2x+ −25−3x 2 =−10  
⇒ 4x – 25 − 3x = − 20
⇒ x = 5.............(6)
Put the value of x from equation (6) in equation (5) to get the value of y:
So, we have:
y= −25−3(5) 2 y= −25−15 2  
y=−20  
Hence, x = 5 and y = -20.
 
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