Question

IIL. Answer the following:
2x 8 = 16
17/ Find the solution for the pair of linear equations by any suitable method.
3x + 2y -7=0
4x + y- 6=0​

Answer 1

Step-by-step explanation:

3x+2y-7=0.....(1)

4x+y-6=0......(2)

Now lets solve with sustitution formula,

3x+2y-7=0

=> -2y = -3x+7

=> -2y = -(3x-7)

=> 2y=3x-7

=>y=3x-7/2

Now Substitute the sub-value of y into 2nd equation,

4x + 3x-7/2 - 6 = 0

=> 8x+3x-7-12/2=0

=> 11x-19/2=0

=> 11x-19=0

=> 11x=19

=> x=19/11

Again,simply substitute the main value of x into 1st equation,

3x+2y-7=0

=> 3*19/11 +2y -7=0

=> 57/11 + 2y -7 =0

=> 2y=7- 57/11

=> 2y=77-57/11

=> 2y=20/11

=> y=10/11

So,the value of (x,y)=(19/11,10,11)