-6x+3y=9 -8x+4y=12 linear equation

System of Linear Equations entered :

[1] 4x + 3y = 9
[2] 3x + 4y = 12
Graphic Representation of the Equations :

3y + 4x = 9 4y + 3x = 12

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 4y = -3x + 12

[2] y = -3x/4 + 3
// Plug this in for variable y in equation [1]

[1] 4x + 3•(-3x/4+3) = 9
[1] 7x/4 = 0
[1] 7x = 0
// Solve equation [1] for the variable x

[1] 7x = 0

[1] x = 0
// By now we know this much :

x = 0
y = -3x/4+3
// Use the x value to solve for y

y = -(3/4)(-0/17603848)+3 = 3
Solution :

{x,y} = {0/17603848,3}

Given :

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

To Find :

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

Solution :

Let, Ginger makes x pitchers of power smoothies :

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

Therefore, number of scoops Ginger used is 84.

Hence, this is the required solution.