Post a New Question

math

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry :(

    this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x-2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system with …
  2. Math

    How would you solve this problem?: x2 + y2 = 25 x2 - y = 5 You have to solve for one variable either by substitution or elimination method and then use the answer to plug it in one of the equations to get the other variable. I've been
  3. College Algebra

    Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables. The perimeter of a rectangle is 72m. If the width were doubled …
  4. College Algebra

    Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables. An orchard operator must dilute 11 quarts of a 60% insecticide …
  5. College Algebra

    4. Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable. Don runs a charity fruit sale, selling boxes of oranges …
  6. systems word problems

    the sum of two numbers is 11. their product is 30. find the numbers. answer 5,6 represent the unknown by variables using let statements, translate into equationsusing variables. combine hem using substitution or elimination. answer …
  7. algebra

    Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables. In a basketball game, Will scored 26 points, consisting only …
  8. algebra

    i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y - 1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of equations …
  9. Algebra SOLVING LINEAR EQUATIONS AND INEQUALITIES

    Please help Im am Grade 5 and my teacher is letting me do this. 1. Solve the solution by using elimination and substitution 3/x - 2/y = 14 6/x + 3/y = 7 2. Solve by eliminating x (this is solving 3 linear equations) then substitute …
  10. Math

    PLEASE CHACK MY ANSWER!!! Discussion for Applications of Linear Systems When solving a system of equations, how do you determine which method to use?

More Similar Questions

Post a New Question