Answer:
(8,-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
b $84.00
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Answer:
Slope intercept form: y = - x +
Step-by-step explanation:
Given the general equation;
cx + dy = e
To make y the subject of the formula;
dy = e - cx
Divide through by d, to have;
= -
So that,
y = - x
y = - x +
Thus, slope = - , and intercept =
Therefore, a general form of the given equation is y = - x + .
Answer:
In this question you got multipel answers.
If she buys as much pants as she can;
135 - (15.p) = 5.s
135 - (15.9) = 0
so now she has bought no shirts and 9 pants.
if she buys as much shirts as she can;
135 - (5.s) = 15.p
135 - (5.27) = 0
so now she has bought no pants and 27 shirts.
If she wants a shirt for each pants the equation would look something like this;
p=s=x
135 - (15.x) = 5.x
but with each pants she can buy three shirts, so 9 = 3.3
(7.15)+(6.5)= 105+30= 135
so now she has 7 pants and 6 shirts.