Answer:
Step-by-step explanation:
4(5x-2y=9)
-2(3x+4y=-5)
20-20x-8y=36
+6x-6x-8y=10
36-20x=10+6x-6x
36-36-20x-6x=10
-26x=10-36
-26x/-26=-26/-26
x=1
Answer:
16 1/2 minutes
Step-by-step explanation:
<em>Multiply together</em>
5 1/2 * 3
=16 1/2
2 to the third power is 2³
so 2 to the third power times -5 is 2³ * (-5)
which on simplification will be 8* (-5) =-40
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 ]
[ Explanation ]
Y = X + 2 is saying that Y, is the X dot + 2.
When the X dot is on 0, we have to add 2 to get to where the Y dot is. X (0) + 2 = 2. That is where the Y dot is.
X (2) + 2 = 4. 4 is where the Y dot is,
Once you keep adding the X dots to 2, you will get the Y dots. That is why the equation is Y = X + 2. In order to get to Y, you need to add 2 to the X dot.
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