Solve the system of equations using elimination.

-7x + 5y = 24

-9x + 5y = 18

A)

(9, 3)

B)

(3, 9)

C)

(

4

5

, 3)

D)

(3,

4

5

)

The abswer shoul be b

{x = 3, y = 9 thus Answer A is correct

Step-by-step explanation:

{5 y - 7 x = 24 | (equation 1)

{5 y - 9 x = 18 | (equation 2)

Swap equation 1 with equation 2:

{ - (9 x) + 5 y = 18 | (equation 1)

{ - (7 x) + 5 y = 24 | (equation 2)

Subtract 7/9 * (equation 1) from equation 2:

{ - (9 x) + 5 y = 18 | (equation 1)

{0 x + (10 y) / 9 = 10 | (equation 2)

Multiply equation 2 by 9/10:

{ - (9 x) + 5 y = 18 | (equation 1)

{0 x+y = 9 | (equation 2)

Subtract 5 * (equation 2) from equation 1:

{ - (9 x) + 0 y = - 27 | (equation 1)

{0 x+y = 9 | (equation 2)

Divide equation 1 by - 9:

{x+0 y = 3 | (equation 1)

{0 x+y = 9 | (equation 2)

Collect results:

Answer: {x = 3, y = 9