Question

4x - y = 8

y = 3x - 1
If (x, y) satisfies the given system of equations, what is the value of y?

Answer 1

The value of y that satisfies the given system of equations is determined by using substitution, resulting in y being equal to 26.

Step-by-step explanation:

To find the value of y that satisfies the given system of equations, you need to solve the system using substitution or elimination. Since one of the equations is already solved for y, substitution is the easiest method. Here's how to do it step by step:

1. Identify the two equations given: 4x - y = 8 and y = 3x - 1.
2. Substitute the expression for y from the second equation into the first equation, where y appears: 4x - (3x - 1) = 8.
3. Simplify and solve for x: x = 9.
4. Now that you have the value of x, substitute it back into either of the original equations to solve for y: y = 3(9) - 1 = 26.

Therefore, the value of y is 26 when (x, y) satisfies the given system of equations.