Question

# In the xy-plane, the graph of intersects the graph of y =x at the points (0,0) and (a, a). What is the value of a?

Hint:

**Hint:**

- The solution of two-equation is the point of intersection of the two graphs.

## The correct answer is: the value of a is 5.

**Explanation:**

- We have given two functions
- We have to find the point of intersection of the two given graphs.
- We will solve both equations and then find the point of intersection.

Step 1 of 1:

We have given two functions

Here, Use the substitution method to solve both the equation.

So, substitute y = x in the first equation .

So,

So, solutions are

x = 0,

x = 5

Now the coordinate will be

x = 0,

y = 0

And

x = 5,

y = 5

So, the points where these two graphs intersect are (0, 0) (5, 5).

So the value of a is 5.

- We have given two functions
- We have to find the point of intersection of the two given graphs.
- We will solve both equations and then find the point of intersection.

We have given two functions

Here, Use the substitution method to solve both the equation.

So, substitute y = x in the first equation .

So,

So, solutions are

x = 0,

x = 5

Now the coordinate will be

x = 0,

y = 0

And

x = 5,

y = 5

So, the points where these two graphs intersect are (0, 0) (5, 5).

So the value of a is 5.

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