Question

PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!

What is the solution to the system of linear equations?

−9x + 4y = 55

Answer 1

(x, y) → (- 3, 7)

Using the method of elimination. That is manipulate the equations so that the coefficients of one of the variables are equal then add/subtract to eliminate it and solve for the other variable.

-9x + 4y = 55 → (1)

-11x + 7y = 82 → (2)

eliminating the terms in x

multiply equation (1) by 11

-99x+ 44y = 605 → (3)

multiply equation (2) by (- 9)

99x - 63y = - 738 → (4)

add (3) and (4) to eliminate x

- 19y = - 133

divide both sides by (- 19)

y =
`(- 133)/(- 19)` = 7

substitute y = 7 into (1)

- 9x + 28 = 55

- 9x = 55 - 28 = 27

x =
`(27)/(- 9)` = - 3

solution to system = (- 3, 7)

Answer 2

-9x + 4y = 55. –------------- (1)

-11x + 7y = 82. ---------------(2)

Multiply (1) with 7 and (2) with 4. we get

-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)

Subtract (4) from (3). you will get

-19x = 57
=> x = 57/(-19)
=> x = -3

Put value of x in (1)
-9×(-3) + 4y = 55

=> 27 + 4y = 55

=> 4y = 55 - 27

=> 4y = 28

=> y = 28/4 = 7


`\boxed{ \textbf{\huge{x = -3, y = 7}}}`