2 - 8y + 6 = 4y - 702 + 6 + 70 = 4y + 8y78 = 12yy = 78/12y = 6.5
Add like terms: (4y - y) + (23 - 6) = 3y + 17
3(3y + 2) + 8y 9y + 6 + 8y 17y + 6
6+(-2x-8)-(-3+12x)-(4y)= 6-2x-8+3-12x-4y=1-14x-4y 1-14x=4y (1-14x)/4=y
It is 8y - 8.
2 - 8y + 6 = 4y - 702 + 6 + 70 = 4y + 8y78 = 12yy = 78/12y = 6.5
Add like terms: (4y - y) + (23 - 6) = 3y + 17
3(3y + 2) + 8y 9y + 6 + 8y 17y + 6
6-2x-8+3+12x+4y 10x+4y+1 Note that - -3 = +3 and that - -4y = +4y
It is: 3y-6
10y-3=4y+6 10y = 4y + 9 6y = 9 y = 9/6 y = 3/2 y = 1.5
6+(-2x-8)-(-3+12x)-(4y)= 6-2x-8+3-12x-4y=1-14x-4y 1-14x=4y (1-14x)/4=y
It is 8y - 8.
10
We havey = 2x + 1 = 2(4y-2) + 1 = 8y - 3 iff 7y = 3 iff y = 3/7 iff x = 4y - 2 = 12/7 - 2 = -2/7(using "iff" for the double-arrow "is equivalent to" symbol which my PC won't copy).Thus xy = (-2/7)(3/7) = -6/7.
Points: (-3, 1) and (5, 6) Slope: (1-6)/(-3-5) = 5/8 Equation: y-1 = 5/8(x--3) => 8y-8 = 5(x--3) => 8y = 5x+23 Equation: y-6 = 5/8(x-5) => 8y-48 = 5(x-5) => 8y = 5x+23
Generally this involves eliminating redundant factors. For example, in fractions if a factor is common between the numerator (top) and denominator (bottom) of the fraction, it can be eliminated. Examples: 3/6 = 1/2. 14/21 = 1/3. Further, if a factor is present in every term of an expression, it can be eliminating. For example: 2x + 8y - 12z = 26 should be reduced to: x + 4y - 6z = 13.