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Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
A student took out two loans totaling $10,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 10%. After one year, the student owed $840 in interest. Find the amount of the loan at 10%.

  • math - ,

    x at .1 and y at .08
    y = 10,000-x
    .1x + .08y = 840
    so substitute
    .1x + .08 (10,000-x) = 840

  • math - ,

    x + y = 10000
    .1x + .08y = 840

    suggestion:
    multiply the second by 100
    then the first by 8 and subtract them

  • math - ,

    Thanks!! You are all the best.

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