Answer:
(-8,4)
Step-by-step explanation:
Given: 2x-3y=-28 and x+6y=16
solve for a variable and then substitute back into other equation
x + 6y = 16
x = 16 - 6y; now use this in the other equation
2x - 3y = -28; substitute into x
2(16 - 6y) - 3y = -28; distribute 2
32 - 12y - 3y = -28; combine y's
32 - 15y = -28; isolate 15y
32 + 28 = 15y; add the numbers
60 = 15y; divide by 15
y = 4
Now use this to plug into other equation
x + 6y = 16; y=4
x + 6(4) = 16;
x + 24 = 16; subtract 24 from both sides
x = -8
The relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.
Since visitors to a carnival are invited to guess the number of beans in a jar, and the person who guesses the correct number wins $ 300, but if multiple people guess correctly, the prize will be divided evenly among them, to determine what is the relationship between the number of people who guess correctly and the amount of money each person will recieve the following logical reasoning must be performed:
Since the prize is a fixed number, 300, it is a value that will not change. In turn, the more people who have guessed right, the lower the amount of money that each of them will win (because the number 300 will be divided by a greater number).
Therefore, the relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.
Learn more in brainly.com/question/2548537
Use socratic it helppppssssss
M = mangoes
a = apples
8m + 3a = 18 Equation 1
3m + 5a = 14.50 Equation 2
Lets multiply equation 1 by 5 and equation 2 by 3
The new equations are:
45m + 15a = 90
9m + 15a = 43.5
Subtract them and get:
36m = 46.5
m = 1.30 Divide both sides by 36
Substitute m into equation 2 (either is fine, but choose the easier one)
3(1.30) + 5a = 14.5
3.9 + 5a = 14.6 Expand the bracket
5a = 10.6 Minus both sides by 3.9
a = 2.12 Divide both sides by 5
Mangoes cost $1.30
Apples cost $2.12 (more like $2.10)
I feel that my working out is wrong, but that is how you work out the answer.