How do i rearrange the following equation to slope intercept form? -8y+6x=-48
2 answers:
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Answer:
Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
Step-by-step explanation:
Let number of cups of juice in each packet of orange be 'x'.
Let number of cups of juice in each pack of apples be 'y'.
Given:
On Tuesday;
Number of packets of oranges = 8
Number of packets of apples = 6 packets.
Amount of fruit juice = 34 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
On Wednesday;
Number of packets of oranges = 14
Number of packets of apples = 6
Amount of fruit juice = 46 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
Now Subtracting equation 1 from equation we get;
Now dividing both side by 6 we get;
Now we will substitute the value of 'x' in equation 1 we get;
Subtracting both side by 16 we get;
Now dividing both side by 6 we get;
Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
Simon is 13 years old
Let x be Simon's age
Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)
Hence 5(x - 4) = 3(x + 2)
distributing both sides gives
5x-20 = 3x + 6
subtract 3x from both sides of the equation
5x - 3x - 20 = 6
2x - 20 = 6
add 20 to both sides
2x = 6 + 20 = 26
divide both sides by 2
x = = 13
Simon is 13 years old