Question

Complete the following activity:
Complete the table to draw the graph of the equation $2x + y = 5$.

Answer 1

In this question we are using the Hit-and-Trial method for finding the missing values on the table.

Complete step by step answer:
The equation given to us is:
$2x + y = 5$
So, using the Hit-and-Trial method with the values given in the table:
When x = 2, then putting x= 2 in$2x + y = 5$, we will get y as:
$\ 2x + y = 5 \\\ \Rightarrow 2(2) + y = 5 \\\ \Rightarrow y = 5 - 4 \\\ \Rightarrow y = 1 \\\ \$
Hence the coordinates will be (2,1)
Now, when y = 0, then putting y= 0 in $2x + y = 5$, we will get x as:
$\ \Rightarrow 2x + 0 = 5 \\\ \Rightarrow 2x = 5 \\\ \Rightarrow x = \dfrac{5}{2} \\\ \$
Hence the coordinates will be $\left( {\dfrac{5}{2},0} \right)$

Hence the missing values are 1 and $\dfrac{5}{2}$and $\left( {\dfrac{5}{2},0} \right)$ respectively.
Therefore, the table will now become:

x	2	$\boxed{\dfrac{5}{2}}$
y	$\boxed1$	0
(x,y)	$(2,\boxed1)$	$\boxed{\left( {\dfrac{5}{2},0} \right)}$

So, using the values from this table the graph for the equation $2x + y = 5$will be

Note: The first value of y could be calculated easily since x was on the right hand side of the given equation but for the second value care has to be taken that we are calculating the value of x, hence the equation needs to be changed accordingly.