# How many solutions does this linear system have y = –x + 4x + 2y = –8?

We will use the concept of linear equations in one variable to find the number of solutions.

## Answer: The given system of the linear equation has only 1 solution.

Let us see how we will use the concept of linear equation in one variable to find the number of solutions.

**Explanation:**

The two equations given to us are , y = –x + 4 x + 2y = –8

The first equation is y = –x + 4x + 2y

If we simplify it, we will get 3x + y = 0.

The second equation is –x + 4x + 2y = –8

If we simplify it, we will get 3x + 2y = -8.

On solving the two equations, we get y = -8 and x = 8 / 3.

### Hence, the solution is x = 8 / 3 and y = - 8. This means the given system of linear equation has only 1 solution.

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