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Chapter 3: Q3. (page 150)

If3x鈭�y=鈭�3andx+5y=15,what is the value ofy?

(A) -3

(B) 0

(C) 1

(D) 3

Short Answer

Expert verified

The value of yis(D)3.

Step by step solution

01

– Write the given equations

3x鈭�y=鈭�3.......(1)x+5y=15.......(2)

02

– Apply the basic math operations on equations

Multiplying equation (2) by 3, we get

3x+15y=45

It can be rewritten as follows,

localid="1647954222871" 3x+15y鈭�45=0....(3)

03

– Subtract equation (1) from equation (3)

Subtracting equation (1) from (3), we get

(3x+15y鈭�45)鈭�(3x鈭�y+3)=03x+15y鈭�45鈭�3x+y鈭�3=016y鈭�48=016y=48y=4816y=3

Thus, the value of yis 3.

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