Question

"(x, y) for the system of equations 4x - 3y = 23 and x - 5y = 0 are:

a) (3, -1)
b) (1, -2)
c) (-2, 1)
d) (0, 0)"

Answer 1

The solution to the system of equations 4x - 3y = 23 and x - 5y = 0 is (x, y) = (115/17, 23/17).

Step-by-step explanation:

The solution to the system of equations 4x - 3y = 23 and x - 5y = 0 can be found by solving the system simultaneously. Here is the step-by-step process:

1. Start by isolating x in the second equation: x = 5y.
2. Substitute the value of x in the first equation: 4(5y) - 3y = 23.
3. Simplify the equation: 20y - 3y = 23.
4. Combine like terms: 17y = 23.
5. Divide both sides by 17: y = 23/17.
6. Substitute the value of y back into the second equation to find x: x - 5(23/17) = 0.
7. Simplify the equation: x - 115/17 = 0.
8. Add 115/17 to both sides: x = 115/17.

Therefore, the solution to the system of equations is (x, y) = (115/17, 23/17).