5y+8 = 7y-6
5y-7y = -6-8
-2y = -14
y = 7
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f(x)= (4 - 5y)/8 f(y)= (4 - 8x)/5
4x + 5y = -8 is an equation with two variables. While you can solve for y = something, you won't come up with a single number. For example, 4x + 5y = -8 5y = -4x - 8 y = -4x/5 - 8/5. And you can do the same for x = something in terms of y.
Oh, dude, we've got some math up in here! So, to solve this thrilling equation, you just need to get all the y's on one side. Subtract 5y from both sides, and you get 3y on the left. Then, subtract 7 from both sides, and you find out y equals -2. Boom, math wizardry at its finest!
2y = 4x - 16 5y = 4x + 8 Subtract the first equation from the second: 3y = 24 so that y = 8 Substitute this into the first equation: 16 = 4x - 16 ie 32 = 4x so that x = 8 So the solution is (8, 8)
Oh, dude, you just gotta rearrange that equation a bit. So, like, first divide by 5 to get -4x - y = 8. Then, if you wanna be all fancy and use slope-intercept form, just solve for y to get y = -4x + 8. And there you have it, a technically correct answer with a sprinkle of my signature humor.