Question

What is the solution to the system of equations 3x - y = 17 and x + 4y = 10?

A. x = 4, y = -5
B. x = 5, y = -6
C. x = 2, y = -7
D. x = -1, y = 4

Answer 1

The solution to the system of equations 3x - y = 17 and x + 4y = 10 is x = 6, y = 1, which is not listed among the given options A, B, C, or D.

Step-by-step explanation:

To find the solution to the system of equations 3x - y = 17 and x + 4y = 10, we can use the method of substitution or elimination. Let's use substitution here:

1. Solve one of the equations for one variable. Let's solve the second equation for x: x = 10 - 4y.
2. Substitute the expression for x in the other equation: 3(10 - 4y) - y = 17.
3. Simplify and solve for y: 30 - 12y - y = 17, which gives us y = 1.
4. Substitute the value of y back into the equation x = 10 - 4y, which gives us x = 10 - 4(1), so x = 6.

Thus, the solution to the system of equations is x = 6, y = 1. However, none of the given options A, B, C, or D matches this solution, so there might be an error in the provided options or the system of equations.