6-4y = 2
140x / 64y divide 5x/8y = > 40x/64y X 8y/5x Note the change of sign and the inversion of the Right hand fraction. Cancel down by '5x' 8/64y X 8y/1 Cancel down by '8y' 8/8 X 1/1 = 8/8 = 1 The answer!!!!
If you mean (9x-8y)(9x+8y) then it is 81x^2 minus 64y^2
No.
You can't simplify it any further without a value for y.
To solve the expression ( 81x^2 + 144xy + 64y^2 ), you can recognize it as a perfect square trinomial. It can be factored as ( (9x + 8y)^2 ). Thus, the solution is ( (9x + 8y)^2 ).
8x + 64y = 176 Add: 62y = 186 so y = 3 and x = -2 This assumes you mean "equals 10", not "plus 10"
8x - 7y = 7 (A)7x + 8y = 8 (B)7*(A): 56x - 49y = 498*(B): 56x + 64y = 648*(B)-7*(A): (64+49)*y = 64-49=> 113y = 15=> y = 15/113
ANSWER: The two numbers required are not whole numbers. These are 43.135 and 20.865.Solution 1:Assuming you want whole numbers:Prime factorization for 900 is2 x 2 x 3 x 3 x 5 x 5You cannot combine these in any way to have a sum that is 64. You can with 65, but not 64.Solution 2:Let:x = first numbery = second numberx * y = 900 (Equation 1)x + y = 64x = 64 - y (Equation 2)Substitute Eq. (2) in Eq. (1):x * y = 900(64 - y) y = 90064y - y2 = 900- y2 +64y - 900 = 0 (Equation 3)multiply Eq. (3) by -1y2 - 64y + 900 = 0using quadratic equation:y1 = 43.135 y2 = 20.865Therefore, the two numbers are 43.135 and 20.865
Solution 1: Prime factorization for 900 is2 x 2 x 3 x 3 x 5 x 5You cannot combine these in any way to have a sum that is 64. You can with 65, but not 64.Solution 2:Let:x = first numbery = second numberx * y = 900 (Equation 1)x + y = 64x = 64 - y (Equation 2)Substitute Eq. (2) in Eq. (1):x * y = 900(64 - y) y = 90064y - y2 = 900- y2 +64y - 900 = 0 (Equation 3)multiply Eq. (3) by -1y2 - 64y + 900 = 0using quadratic equation:y1 = 43.135 y2 = 20.865Therefore, the two numbers are 43.135 and 20.865
Using the vertex (h, k) the equation of the quadratic would be: y = a(x - h)² + k → y = a(x - 8)² + 2 → y = a(x² - 16x + 64) + 2 → y = ax² -16ax + 64a + 2 Using the y-intercept of (0, -11): -11 = a 0² - 16a 0 + 64a + 2 → 64a = -13 → a = -13/64 Thus the quadratic could be: y = (-13/64)x² - 16(-13/64)x + 64(-13/64) + 2 → y = (-13/64)x² + (13/4)x - 11 Or, removing the fractions: 64y = -13x² + 208x - 704
You can't exactly FOIL it because you don't have a problem in the form of (3x + 2)(4x - 6) Frankly, I don't understand exactly what question you are trying to solve, so I'll give you a couple of examples that might help. (-y32) times (2y - 4xy2) turns into: ((-1)(y32) times 2y) plus ((-1)(y32) times ((-1)(4xy2)) which becomes -2y33 plus 4xy34 which would be more often expressed as 4xy34 - 2y33 Perhaps you meant something more like this: (-y times 32) times (2y - 4xy2) turns into: (-32y) times (2y - 4xy2) which becomes (-y times 2y) + (-y times -4xy2) + (32 times 2y) + (32 times -4xy2) which becomes -2y2 + 4xy3 + 64y - 128xy2 which is 4xy3 -128 xy2 - 2y2 + 64y I'm sure if I'm gotten it wrong, someone will straighten it out. Also, if this doesn't help, please fix up the original question so it can be answered properly.
First off the original equation would beX - 12 = 4*yThis equations is broken down like this: a number (x) is twelve less (-12) than (=) four times (4 * ) another number (y)The second equation comes from "Their difference (another term for subtraction) is 51"x-y = 51The easiest way to solve this problem would be to solve a system by substitution.In the equation x-y = 51, add y to both sidesThis would come out to x = y+ 51Then you take this equations and substitute it in for x into the other equationy + 51 - 12 = 4y-4 from both sides51 - 12 = 3ycombined like terms39 = 3yy = 13Then plug back into the equationx -12 = 13 * 4simplify 13 * 4x - 12 = 52add 12 to both sidesx=64y = 13andx=64