An important question from linear equations in two variables as it was already asked in various examinations in which we have been asked to find the value of variables x and y from the equations 2x-3/y=9, 3x+7/y=2
RS Aggarwal, Class 10, chapter 3B, question no 20
Given
2x−3/y=9...(1)
3x+7/y=2...(2)
Let us use the elimination method to solve the given system of equation.
Multiply (1) by 3 and (2) by 2,We get
6x−9/y=27...(3)
6x+14/y=4...(4)
Now, subtracting equation (3) from(4)
(6x+14/y)−(6x−9/y)=4−27
⇒14/y+9/y=−23
⇒23/y=−23
⇒y=−1
Substitute the value of y in equation (1), we have
2x−(−1)3=9
⇒2x+3=9
⇒2x=6
⇒x=3
Hence x=3,y=−1