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19 April, 01:32

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

)

+3
Answers (2)
  1. 19 April, 02:12
    0
    The abswer shoul be b
  2. 19 April, 04:07
    0
    {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
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