Answer:
The cost for 1 chair is $2.75 and the cost for 1 table is $8.75.
Step-by-step explanation:
Use the elimination method of linear equations to find your answer.
Our equations for this problem are:
3c+5t=52 and 9c+7t=86
Multiply the entire first equation by -3.
-3(3c+5t=52)
Simplify the equation from above:
-9c-15t=-156
Stack the two equations on top of each other and add/subtract:
-9c-15t=-156
9c+7t=86
You should be left with -8t=-70. Simplify this to find the value of t:
t=8.75
Plug the value of t into any of the original equations and solve for c.
3c+5(8.75)=52
Simplify the equation above:
3c+43.75=52
Subtract 43.75 from both sides of the equation:
3c=8.25
Divide both sides by 3 to get your c value:
c=2.75
