y2=26
y2/2 l 26/2
y = 13
when using " 4 line method", the purpose is to isolate the variable. the coefficent states that you're multiplying y by 2, so to isolate the variable, you have to get rid of the 2, which you do by dividing y2 by 2. likewise, if the equation stated y+2, to isolate the variable, you subtract 2. it works the other way aroind, too. if the equation stated y/2, to isolate the variable, you multiply it by 2. the same thing with y-2. you add 2. now, the division property of equality states that when you divide on the left, you divide on the right, too. so when you divide y2 by 2 in order to isolate the variable, you have to divide 26 by 2 as well, giving you your answer of y+13. class is dismissed. ;3
2x2-y2
What do you want to convert it to? x2 + y2 = 2x If you want to solve for y: x2 + y2 = 2x ∴ y2 = 2x - x2 ∴ y = (2x - x2)1/2 If you want to solve for x: x2 + y2 = 2x ∴ x2 - 2x = -y2 ∴ x2 - 2x + 1 = 1 - y2 ∴ (x - 1)2 = 1 - y2 ∴ x - 1 = ±(1 - y2)1/2 ∴ x = 1 ± (1 - y2)1/2
(2-r)e-rr
x=7
x=7
2x2-y2
y=±√15
What do you want to convert it to? x2 + y2 = 2x If you want to solve for y: x2 + y2 = 2x ∴ y2 = 2x - x2 ∴ y = (2x - x2)1/2 If you want to solve for x: x2 + y2 = 2x ∴ x2 - 2x = -y2 ∴ x2 - 2x + 1 = 1 - y2 ∴ (x - 1)2 = 1 - y2 ∴ x - 1 = ±(1 - y2)1/2 ∴ x = 1 ± (1 - y2)1/2
0
(2-r)e-rr
x=7
9a + 4a = 26 13a = 26 a = 26/13 a = 2
x=7
Yes, as x-y2=0
-18
y2+7y=18 y2+7y-18=0 (y+9)(y-2)=0 y=-9 & y=2
x2 + 3y = 7 3x + y2 = 3 3y = x2 + 7 y2 = -3x + 3 y = x2/3 + 7/3 y = ± √(-3x + 3) If you draw the graphs of y = x2/3 + 7/3 and y = ± √(-3x + 3) in a graphing calculator, you will see that they don't intersect, so that the system of the given equations has not a solution.