Question

The system of equations above is graphed in the xy -plane. What is the x -coordinate of the intersection point ( x, y) of the system?

- - 0.5
- - 0.25
- 0.8
- 1.75

Hint:

**Hint:**

- Point of intersection of graph of two linear equation is solution of both equation.

## The correct answer is: - 0.5

### Explanation:

- We have given two linear equation
- We have find the x coordinate of intersection of this system of equation

Step 1 of 1:

The given linear equation is

Multiply second equation by 3

We will get

Now add first equation, we will get

Therefore, x coordinate is -0.5.

Hence, Option A is correct.

### Related Questions to study

According to the system of equations above, what is the value of X ?

**Note:**

Here we find the value of *y* from equation (1) and use it in equation (2).

We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.

Students are encouraged to try this method too.

According to the system of equations above, what is the value of X ?

**Note:**

Here we find the value of *y* from equation (1) and use it in equation (2).

We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.

Students are encouraged to try this method too.