Ask Question
20 December, 14:49

Solve the system of equations using the linear combination method. {4j-2k=265j-2k=35 Enter your answers in the boxes.

+5
Answers (1)
  1. 20 December, 17:50
    0
    You can break down linear combination method in following steps:

    1) Arrange the like terms in columns (x bellow x, y bellow y ...)

    2) Multiply one or both equations until you "kill" one of the terms

    This means that coefficients on one of your terms have the same value but have opposite signs.

    3) Add equations and repeat steps 1 and 2 if you had more than two equations to start with.

    So to start with we write equations with like terms in columns.

    4j-2k=26

    5j-2k=35

    All we have to do now is multiply the second equation by (-1).

    4j - 2k=26

    -5j+2k=-35

    Now we can add them together and solve for j.

    -j=-9

    j=9

    We can find k simply by plugging in j=9.

    4 (9) - 2k=26

    36-2k=26

    2k=36-26

    k=5
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Solve the system of equations using the linear combination method. {4j-2k=265j-2k=35 Enter your answers in the boxes. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers