6x+8y=24, 8y-6x=2
what is x and what is y?
urgent! thanks:)
sorry, this is the right way:
6x+8y=24, 8y(-6x)=2
also, there is another question I'm having trouble with. subject is Calculus.
1. One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there?
thanks =)
Add the two equations together
6x+8y=24,
8y-6x=2
16y=26 then find y
subtract the two
12x=22 then find x
To find the values of x and y that satisfy the given system of equations, we can use the method of elimination. Here are the steps to solve the system:
1. Start by multiplying the second equation by -1 to change the signs of all the terms. This will allow us to eliminate one of the variables when we add the two equations together:
-1(8y - 6x) = -1(2)
Simplifying, we get:
-8y + 6x = -2
2. Add the two equations together to eliminate the x variable:
(6x + 8y) + (-8y + 6x) = 24 + (-2)
Simplifying, we have:
12x = 22
3. Divide both sides of the equation by 12 to solve for x:
12x/12 = 22/12
x = 11/6
4. Substitute the value of x into one of the original equations. Let's use the first equation:
6(11/6) + 8y = 24
Simplifying, we get:
11 + 8y = 24
5. Subtract 11 from both sides of the equation:
11 - 11 + 8y = 24 - 11
8y = 13
6. Divide both sides of the equation by 8 to solve for y:
8y/8 = 13/8
y = 13/8
Therefore, the solution to the given system of equations is x = 11/6 and y = 13/8.