Answer:
Given system of equations:

To solve by substitution, equate the equations and solve for x:

Therefore, the x-values of the solution are
and
.
To find the y-values of the solution, substitute the found values of x into the functions:




Therefore, the solutions to the given system of equations are:
and 
Recipe 1 : 4 cups oj with 6 cups pineapple.....ratio of 4/6 reduces to 2/3
recipe 2 : 6 cups oj with 9 cups pineapple...ratio 6/9 reduces to 2/3
recipe 3 : 9 cups oj with 12 cups pineapple....ratio 9/12 reduces to 3/4
so recipe 1 and recipe 2 will taste the same because the ratios are the same...and recipe 3 will be the different tasting one because it has a different ratio mixture
Answer:
x=27
Step-by-step explanation:
180-2x-40+180-3x+180-x-50+180-4x = 360
360-2x-40-3x+360-x-50-4x= 360
360-10x-90= 0
10x= 270
x= 27
The given equation is

Consider the slope-intercept form.

Rewriting the given equation in the slope-intercept form.

Subtracting 3x from both sides, we get

Dividing both sides by 5, we get



Compared to the slope-intercept form, we get m=-0.6 and b=1.4.
Hence the slope m= -0.60.