Question

Describe the steps to determine the x value in y+2x=-1 and y=1/2x+4

Answer 1

To solve for x in the given system of equations, substitute y from the second equation into the first, combine like terms, isolate x, and simplify to find that x equals -2.

Step-by-step explanation:

To determine the x value for the system of equations y+2x=-1 and y=1/2x+4, follow these steps:

1. Substitute the second equation into the first one to eliminate the variable y. This means that wherever you see y in the first equation, replace it with 1/2x+4.
2. So the first equation will look like: (1/2x + 4) + 2x = -1.
3. Combine like terms to get: 5/2x + 4 = -1.
4. Subtract 4 from both sides to isolate the term with x: 5/2x = -5.
5. Multiply both sides by 2/5 to solve for x: x = -5 × (2/5).
6. Finally, you get the solution for x: x = -2.

The value of x that satisfies both equations is -2.