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20 July, 21:05

Solve the system of equations given

5x+2y=9

2x-3y=15

A. (3,-3)

B. (-3,12)

C. (12,-3)

D. (-3,3)

+3
Answers (2)
  1. 21 July, 00:24
    0
    {x = 3, y = - 3 thus the answer is A

    Step-by-step explanation:

    Solve the following system:

    {5 x + 2 y = 9 | (equation 1)

    {2 x - 3 y = 15 | (equation 2)

    Subtract 2/5 * (equation 1) from equation 2:

    {5 x + 2 y = 9 | (equation 1)

    {0 x - (19 y) / 5 = 57/5 | (equation 2)

    Multiply equation 2 by 5/19:

    {5 x + 2 y = 9 | (equation 1)

    {0 x - y = 3 | (equation 2)

    Multiply equation 2 by - 1:

    {5 x + 2 y = 9 | (equation 1)

    {0 x+y = - 3 | (equation 2)

    Subtract 2 * (equation 2) from equation 1:

    {5 x+0 y = 15 | (equation 1)

    {0 x+y = - 3 | (equation 2)

    Divide equation 1 by 5:

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

    {0 x+y = - 3 | (equation 2)

    Collect results:

    Answer: {x = 3, y = - 3
  2. 21 July, 00:36
    0
    A) 5x+2y=9

    B) 2x-3y=15

    Multiply A) by 1.5

    A) 7.5x + 3y = 13.5 then add it to B)

    B) 2x-3y=15

    9.5x = 28.5

    x = 3

    5*3 + 2y=9

    2y = - 6

    y = - 3

    answer is A
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