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.
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