Question

Using a graph, table of values, and/or equations solve the following problem.

Answer 1

Answer:

$L= 117.0$

Step-by-step explanation:

Represent the sofa with S and the love seat with L.

So, we have:

$S + L = 351$ --- Total Cost

$S = 2L$

Required

Determine the value of L

Substitute 2L for S in the first equation.

$2L + L = 351$

$3L= 351$

Divide both sides by 3

$\frac{3L}{3}= \frac{351}{3}$

$L= \frac{351}{3}$

$L= 117.0$

Hence, a love seat costs 117.0

Using Graph

See attachment for graph

S is plotted on the y-axis and L is on the x-axis.

The green line represents $S + L = 351$ while the orange line represents $S = 2L$

When the line of the graph is traced to the x-axis, we have:

$L= 117.0$