1. Sarah and Maya both need notebooks and pencils. The equation that represents Sarah's purchases is y = 13- 3x. The equation that represents Maya's purchases is y = 7 -x. If y
represents the price of notebooks, and x represents the price of pencils, what are the prices of
the notebooks and pencils?
a) pencils: $4 notebook: $3 go to card 4
b) pencils: $6 notebook: $1 go to card 3
c) pencils: $3 notebook: $4 go to card 5
d) pencils: $1 notebook: $6 go to card 7
e) pencils: $4 notebook: $4 go to card 2
Look

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

a) 32pie square meters

step-by-step explanation:

(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