8x + 6y = -15
What do you need to do with this equation?
If you are to graph it, pick values for x and find y for several points to graph.
Well first you want to make it y=mx+b so you subtract 8x from each side. So now your equation looks like 6y=8x-15 then divide each side by 6.
The given equation is 8x + 6y = -15.
To solve for this equation, we can follow these steps:
Step 1: Isolate one variable.
Let's isolate the variable x in this case. To do that, we can subtract 6y from both sides of the equation. This gives us:
8x = -15 - 6y
Step 2: Solve for x.
Now we can solve for x by dividing both sides of the equation by 8:
x = (-15 - 6y) / 8
Simplifying further, we have:
x = -15/8 - (6/8)y
x = -15/8 - 3/4y
So the solution for x in terms of y is x = -15/8 - 3/4y.
Similarly, if you want to isolate the variable y, you follow a similar process:
Step 1: Isolate one variable.
Let's isolate the variable y. To do that, we can subtract 8x from both sides of the equation. This gives us:
6y = -15 - 8x
Step 2: Solve for y.
Now we can solve for y by dividing both sides of the equation by 6:
y = (-15 - 8x) / 6
Simplifying further, we have:
y = -15/6 - (8/6)x
y = -5/2 - 4/3x
So the solution for y in terms of x is y = -5/2 - 4/3x.
Alternatively, if you have specific values for x or y, you can substitute them into the equation to find the corresponding value for the other variable.