Question

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

Answer 1

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.