Question

0. Which of the following pairs of linear equations are consistent or inconsistent:
3x - 2y = 5
2x-3y = 7
9x - 10y = 14
3x/2+5y/3=7​

Answer 1

Step-by-step explanation:

3x+2y=5,2x−3y=7 is an example of consistent pair of equation.

Let 3x+2y=5 ......(1)

and 2x−3y=7 ......(2)

Multiply equation (1) by 2 and equation (2) by 3

Therefore, 6x+4y=10 ....(3)

and 6x−9y=21 ....(4)

Subtract equations (3) and (4), we get

⇒13y=−11

⇒y=−

13

11

Substitute the value of y in (1)

⇒3x+2(−

13

11

)=5

⇒3x−

13

22

=5

⇒3x=

13

87

⇒x=

13

29

∴x=

13

29

,y=−

13

11

Hence, the pair of equations are consistent.

The correct answer is A.