Question

solve 11x +15y +23 =0, 7x-2y-20 by elimination method

Answer 1

Answer:

2 and -3 are the required value of x and y .

Step-by-step explanation:

Explanation:

Given , 11 x+15y +23 = 0 and

7x -2y -20 = 0

The elimination method is the process of removing one of the variables from a system of linear equations by employing addition or subtraction, as well as multiplication or division of the variables' coefficients.

Step1:

Let 11x + 15y = -23 ..........(i) and

       7x -2y = 20 ..........(ii)

Multiply 7 in equation (i ) and multiply 11 in equation (ii) we get

∴77x +105y  = -161 and ........(iii) and

  77x - 22y = 220..........(iv)

Now , subtract  equation (iii) and (iv) we get ,

127 y = -381

⇒ y = -3 ,

Step 2:

Now , put the value of y in any one of the above equation ,

⇒7x - 2× (-3) = 20

⇒7x + 6 = 20

⇒7x = 14 ⇒x = 2

Final answer :

Hence , the value of x is 2 and value of y is -3 .

#SPJ2