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Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed. The total number of liters of syrup and water he mixed was 7 liters. Which graph best shows the number of liters of fruit syrup and water that Rex added to make the fruit punch? (5 points)


graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

Respuesta :

texaschic101
3y = 2x + 6
x + y = 7

y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x

x + y = 7
3 + y = 7
y = 7 - 3
y = 4

Solution is (3,4)

The graph/equation that best shows the number of litres of fruit syrup and water that Rex added to make the fruit punch is as follows;

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

How to form an equation?

He mixed x litres of fruit syrup with y litres of water to make a fruit punch.

The total number of litres of syrup and water he mixed was 7 litres. Therefore,

x + y = 7

y = - x + 7

Three times the number of litres of water he mixed was 6 more than twice the number of litres of syrup he mixed. Therefore,

3y  = 2x + 6

3y - 2x = 6

Lets combine the equation

x + y = 7

-2x + 3y = 6

2x + 2y = 14

-2x + 3y = 6

5y = 20

y = 20 / 5 = 4

x = 7 - 4

x = 3

They intersect at ordered pair 3, 4

learn more on equation here: https://brainly.com/question/11823732

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