Question

11x+25y=-101,7y+8x=16 solve x and y by elimination and cross multiplication method

Answer 1

answer is x=5and y=-8

Answer 2

Answer:

The value of x and y is 9 and -8

Step-by-step explanation:

Given: The given equation are 11x+25y=-101,7y+8x=16

To find: The value of x and y for the given equation

Solution:

The given equation are

11x+25y=-101     (1)

7y+8x=16           (2)

Divide the equation (1) by 11

Then we get

$x + \frac{25}{11} = -\frac{101}{11}$        (3)

Divide the equation (2) by 8

$\frac{7y}{8} + x = \frac{16}{8}$

$x +\frac{7y}{8} =2$        (4)

Solve eq (3)  and (4)

      $x + \frac{25}{11} = -\frac{101}{11}$

 (-)   $x +\frac{7y}{8} =2$

________________

        $y(\frac{25}{11} -\frac{7}{8} )$ = $(-\frac{101}{11} - 2)$

$y(\frac{25}{11} -\frac{7}{8} )$ = $(-\frac{123}{11} )$

$y(\frac{200 - 77}{88} ) = -\frac{123}{11}$

$y(\frac{123}{88} ) = -\frac{123}{11}$

$y =- \frac{123}{11} *\frac{88}{123}$

y = -8

Sub y= -8 in equation (2)

7y+8x=16

7(-8) + 8x = 16

-56 + 8x = 16

8x = 16 +56

8x = 72

x = $\frac{72}{8}$

x = 9

The value of x = 9 and y = -8

Final answer:

The value of x and y is 9 and -8 for the given equation by using elimination and cross multiplication method.

#SPJ2