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5x + (3y-x) + (10-2y) = 5x + 3y - x + 10 -2y = 5x - x + 3y - 2y + 10 = 4x + y +10
x=2 y=7 5x+3y= 5 7 x 2 x 3 ____ _____ 10 21 21 + 10 _______ 31
equation is 3y = 5x + 2 standard form is y = mx + b m is the slope adjust the formula for y y = (5/3)x +2/3 slope is 5/3 or 1 and 2/3
"Like terms" are terms that have the same variables, but possibly with different numbers. "Collect" means to put them together - add the numbers. For example, in an expression such as: 5x + 3y - 2x You can combine the "x" terms: (5x - 2x) + 3y and add the numbers (this is justified by the distributive property: (5x - 2x) + 3y = (5 - 2)x + 3y = 3x + 3y
3+15
5x + 3y - 2 - x + y + 2 = 4x + 4y = 4(x + y)
5x + (3y-x) + (10-2y) = 5x + 3y - x + 10 -2y = 5x - x + 3y - 2y + 10 = 4x + y +10
(3x + 2y)(5x - 3y) Apply FOIL. F(First) ; 3x X 5x = 15x^(2) O(Outside) ; 3x X -3y = - 9xy I(Inside) ; 2y X 5x = 10xy L(Last) ; 2y X - 3y = - 6y^(2) 15x^(2) - 9xy + 10xy - 6y^(2) Collect 'like' terms 15x^(2) + xy - 6y^(2) The answer!!!!!!
x=2 y=7 5x+3y= 5 7 x 2 x 3 ____ _____ 10 21 21 + 10 _______ 31
If you mean: 5x+2y+x-3y then it is 6x-1y
2
Rearrange for y, let f(x) = y, and find the derivative of f(x) with respect to x: 5x + 3y = -2 y = -(5x+2)/3 = f(x) df/dx = -5/3
5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
-x+3y+6x-6y=5x-3y
equation is 3y = 5x + 2 standard form is y = mx + b m is the slope adjust the formula for y y = (5/3)x +2/3 slope is 5/3 or 1 and 2/3
5x+2x-3y+y = (5+2)x+(-3+1)y = 7x - 2y
5x+3y