Question 949879

your family is trying to decide between two cable companies 

satellite systems charges ${{{49}}} to set the service and ${{{29}}} per month for basic cable 
set the linear equation:

let {{{x}}} be the number of the months, and {{{y}}} the cost

{{{y=29x+49}}} ..............satellite systems

the other company, communications cable, charges ${{{25}}} to set up the service and ${{{37}}} per month for basic table 

{{{y=37x+25}}}...........communications cable

a. in how many months will both services cost the same?

{{{29x+49=37x+25}}}  solve for {{{x}}}

{{{49-25=37x-29x}}}

{{{24=8x}}}

{{{x=3}}}  in {{{3}}} months will both services cost the same

b.what will that cost be?
 in {{{x=3}}} months cost will be

{{{y=29x+49}}} ..............satellite systems

{{{y=29*3+49 }}}

${{{y=136}}}


{{{y=37x+25}}}...........communications cable

{{{y=37*3+25}}}

{{{y=111+25}}}

${{{y=136}}}


c. which systems should you choose if your family will only need the service for {{{6}}} months? 

in {{{x=6}}} months

{{{y=29x+49}}} ..............satellite systems

{{{y=29*6+49}}} 

${{{y=223}}}


{{{y=37x+25}}}...........communications cable

{{{y=37*6+25}}}

${{{y=247}}}


if your family will only need the service for {{{6}}} months, should  choose satellite systems and save ${{{247-223=24}}}