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13 April, 04:18

Solve the simultaneous equations:

5x+3y=12

2x+y=5

+1
Answers (2)
  1. 13 April, 04:30
    0
    I will use the substitution method, but you can also use elimination and matrix.

    1. Solve for y in 2x+y=5

    2x+y=5

    y=5-2x

    2. Substitute y=5-2x into 5x+3y=12

    5x+3y=12

    5x+3 (5-2x) = 12

    5-x=12

    3. Solve for x in 15-x=12

    15-x=12

    -x=12-15

    -x=-3

    x=3

    4. Substitute x=3 into y=5-2x

    y=5-2x

    y=5-2*3

    y=-1

    5. Therefore,

    x=3

    y=-1

    Have a nice day : D
  2. 13 April, 04:46
    0
    5x+3y=12

    2x+y=5

    Change the second equation to y=-2x+5. Now substitute this into the first equation:

    5x+3 (-2x+5) = 12

    5x-6x+15=12

    -x+15=12

    -x=-3

    x=3

    Now you can find y.

    y=-2x+5

    y=-2 (3) + 5

    y=-1
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