Question

Which of the following shows a graph of this system and the solution?

Answer 1

Answer:

the graph with the solution above is 2nd (middle) graph

Explanation:

Given:

The sum of Sharon and John's age = 70

Sharon = 4 times as old as John

let s = Sharon's age

j = John's age

To find:

the graph that shows the system and the solution

To determine the correct graph, we need to dterine each of their ages:

Sharon's age + John's age = 70

s + j = 70 . . .(1)

Sharon's age = 4(j)

s = 4j . . . (2)

substitute for s in equation (1):

$\begin{gathered} 4j\text{ + j = 70} \\ 5j\text{ = 70} \\ divide\text{ both sides by 5:} \\ j\text{ = }\frac{70}{5} \\ j\text{ = 14} \end{gathered}$$\begin{gathered} substitute\text{ for j in equation \lparen2\rparen:} \\ s\text{ = 4\lparen14\rparen} \\ s\text{ = 56} \end{gathered}$

We will check the graph with the solution j = 14 and s = 56

J represents the vertical axis while s represents the horizontal axis.

Hence, the graph with the solution above is 2nd graph