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Find x and y
a. 4x+11.6y=38.51
b. 2x+7.3y=24.84

User Rump Roast
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1 Answer

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Final answer:

The values for the system of equations 4x+11.6y=38.51 and 2x+7.3y=24.84 are found to be x = -1.179 and y = 3.723 using the substitution method.

Step-by-step explanation:

To find the values of x and y for the given system of equations:

  1. 4x + 11.6y = 38.51
  2. 2x + 7.3y = 24.84

we can use the method of elimination or substitution. Let's use the substitution method for this example:

  1. Multiply the second equation by 2 so that the coefficients of x are the same:
    4x + 14.6y = 49.68
  2. Subtract the first equation from this new equation:
    (4x + 14.6y) - (4x + 11.6y) = 49.68 - 38.51
    3y = 11.17
    y = 3.723
  3. Substitute the value of y into one of the original equations to find x:
    (2x + 7.3*(3.723)) = 24.84
    2x + 27.198 = 24.84
    2x = -2.358
    x = -1.179

Therefore, the solution to the system of equations is x = -1.179 and y = 3.723.

User HiddenDroid
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