7y=-24
y= -24/7
You have to add the two vaiables and then divide to get the y by itself.
Answer:
So the numbers are 12 and -3.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:
x - y = 15
Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:
(1/3)*(x+y) = x/4
Since we now have two equations and two variables we can solve for x and y. From the first equation we have:
y = x - 15
Using this expression for the value of y in the second equation:
(1/3)*(x + x - 15) = x/4
(1/3)*(2*x - 15) = x/4
2*x - 15 = 3*x/4
2*x - 3*x/4 = 15
(8*x - 3*x)/4 = 15
5*x/4 = 15
5*x = 60
x = 60/5 = 12
y = x - 15 = 12 - 15 = -3
So the numbers are 12 and -3.
Third option is the correct answer.
Answer:
![y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2bc%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D)
Step-by-step explanation:
![y - y_1 = m(x - x_1) \\ \\ y - 0 = \bigg[ \frac{2b}{(2a - c)} \bigg] (x - c) \\ \\ y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2b}{(2a - c)} \bigg]c \\ \\ \purple { \boxed{ \bold{y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]}}} \\](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20%5C%5C%20%20%5C%5C%20y%20-%200%20%3D%20%20%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D%20%20%28x%20-%20c%29%20%5C%5C%20%20%5C%5C%20y%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dc%20%5C%5C%20%20%5C%5C%20%20%5Cpurple%20%7B%20%5Cboxed%7B%20%5Cbold%7By%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2bc%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D%7D%7D%7D%20%5C%5C%20)
Answer:
(10,54) and (11,59)
Step-by-step explanation:
those ordered pairs are the closest to one another.
