Write and answer the hidden question or questions in each problem and then solve the problem. write your answer in a complete sentence.

when mrs. johnson saw the sale, she decided to get clothes for each child in her family. she bought each of her 6 children a pair of jeans and a t-shirt. she paid $14.35 in sales tax. how much was mrs. johnson's total bill?
a) $94.35 b) $119.70 c) $229.35. d) 253.35

look at the chart:
jeans: $29.95 for 1 pair or 2 pairs for $55.00
t-shirts: $9.95 for 1 or 3 t-shirts for $25.00

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3