# Fatima buys some bottles of coke at Rs 15 each and twice as many cans of oranges juice at Rs.25each.

Fatima buys some bottles of coke at Rs 15 each and twice as many cans of oranges juice at Rs.25each. She also buys 10 fewer cans of lemonade than orange at Rs 20each. She spends Rs 430. How many bottles/cans of each drink did she buy.

## This Post Has 3 Comments

1. Expert says:

(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

2. Expert says:

Ithink if im not mistaking b is -3 but im not a 100% sude
$Can someone and explain this problem to me? : d$

3. ayoismeisalex says: