Hello!
Let's write some important information contained in the exercise:
• hotdogs: $2.59 (,x,)
,• hamburgers: $5.29 (,y,)
He needs 11 packages. Let's write it:
• x + y = 11
He spent a total of $39.29. We can write it as:
• 2.59x + 5.29y = 39.29
Now, let's solve these two equations as a linear system:
First, let's isolate x in equation A:
Now, we will replace where's x by 11-y in equation B:
As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.
Answer:
The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )
Step-by-step explanation:
Given as :
The two algebraic equation is
y = 2 x - 4 .......A and y = - x + 5 ........B
The given two algebraic equation can be solved by putting the one variable to the other equation
Now , put the value of y from Eq A into the Eq B
I.e 2 x - 4 = - x + 5
or, 2 x + x = 5 + 4
or, 3 x = 9
∴ x =
I.e x = 3
So The value of x = 3
Again, put the value of x in the equation A
I.e y = 2 x - 4
or, y = 2 × 3 - 4
∴ y = 6 - 4
I.e y = 2
So The value of y = 2
So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )
Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer
