Question

Using a graph, table of values, and/or equations solve the following problem.
A sofa and a love seat together costs S351. The sofa costs double the love seat. How much does the love seat cost?
Round and write your answer to the tenths place value. Do not include units​

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:

$L= 117.0$