Pre-Algebra

How do you solve this Pre-Algebra problem:

$1.25x + $2.25y = $916
x + y = 560

asked by 8th Grade
  1. This is a system of equations. There are three ways you can solve these types of problems, graphing, substitution, or elimination. I'll use eliminations for this one. Elimination means that you try to eliminate one of the variables.

    First, I multiply the second equation by 1.25:

    1.25x + 2.25y = 916
    1.25x + 1.25y = 700

    Now, subtract the two equations:

    1y = 216

    y = 216

    Substitute 216 into y of one of the equations:

    1.25x + 2.25(216) = 916

    1.25x + 486 = 916

    1.25x = 430

    x = 344

    The answer is (344, 216).

    Check your answer by substituting these values into the equations:

    1.25(344) + 2.25(216) = 916

    Yes

    344 + 216 = 560

    Yes

    posted by Anonymous
  2. the ratio of the length to the width of a rectangular field is 3 to 2, if the field is 120 yards long, how wide is the field.

    posted by S

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    what is the system of equation of: 0.25x+0.15y=2.5 1.25x-1.25y=7.5
  2. algebra

    complete factorization y^4-25y^2+144 (^) denotes following number is Power y^4 - 25y^2 + 144 You might try replacing y^2 with x. Therefore your statement becomes: x^2 - 25x + 144 ...which is easier to factor.
  3. Math

    Sorry! I don't get this one either.. limit of (f(x+Δx)-f(x)) / Δ x with Δ x -> 0 f(x)= 1/(x+3) My work so far before I got stuck... 1/((x+Δx)+3) = 1/(x+Δx+3) - 1/x+3 = 1(x+3)/(x+Δx+3)(x+3) -
  4. Chemistry

    How would you exactly start the first problem? My thermodynamic skills is a bit rusty. I am assuming I have to use ΔH°f under the given reaction..? But then..we barely covered ΔG° in class. Am I to use this equation,
  5. Algebra

    I am solving for sytems of equations using the elimination method. Book says answers are 0,-1. I have tried solving for both x & y using both the 5 and 25 . I am not getting the 0,1 as my answer. 5x-5y=5 25x-25y=22
  6. Advanced Algebra

    25x^4-25x^2+6=0 solve type an exact answers using radical and rationalize all denominators
  7. Algebra story problem

    I need to turn this story into an algebra problem: Your cousin ears $25 per week babysitting and receives one $5 bonus. You earn $15 per week mowing lawns and $12 a week running errands. After working the same number of weeks, you
  8. Calc again sorry

    4) The graph of y = (x)/(1+25x^2) for x is greater than or equal to 0 has a horizontal tangent at x = what. So what I did was find the first derivative. I did the quotient rule and ended up with x50x - 1+25x^2 ---------------
  9. chemistry

    Suppose the ΔGof, ΔHof, and ΔSo are available and valid at 298 K. Which equation(s) could be used to calculate the change in Gibbs Energy if all product and reactant concentrations (pressures) are 1 M (1 atm) and
  10. Pre Calc

    How to solve the equation: 36x-15y+50z=-10 2x+25y=40 54x-5y+30z=-160

More Similar Questions