2/3(x+4)>4/5(x-5)
Thanks for your help!!
2006-11-25 04:35:51 · 8 answers · asked by amy 2 in Education & Reference ➔ Homework Help
The equation just requires manipulation. First insert an equal sign for clarity and solve for an equality equation.
2/3x(x+4)=4/5(x-5), multiply through, 2/3x+8/3=4/5x-4, rearrange, 4/5x-2/3x=8/3+12/3, note 12/3 equals 4, now factor and simplify using common denominators, x(12/15-10/15)=20/3, simplify,
x(2/15)=20/3, divide both sides by 2/15 remembering to invert and multiply fractions, x=20/3*15/2, solve, x=50. Reinsert unequality sign, x<50 and try your answer in original equation. You'll find both sides will equal 36 when using 50 and then if you use less than fifty, the equation is true!!
2006-11-25 04:56:52 · answer #1 · answered by Deano 7 · 0⤊ 0⤋
distributive property:
2/3(x+4)>4/5(x-5)
2/3x+8/3>4/5x-4
get common denominator
10/15x+40/15>12/15x-60/15
solve for x
-2/15x>-100/15x
x<1500/30:make sure to switch the sign from > to < because you divide by a negative coefficient.
reduce
x<50
2006-11-25 12:42:41 · answer #2 · answered by Raven S 3 · 0⤊ 0⤋
50
2006-11-25 12:46:49 · answer #3 · answered by Anonymous · 0⤊ 0⤋
2/3x+8/3>4/5x-4
add 4 from both sides
2/3x+20/3>4/5x
subtrac 2/3x from both sides
20/3>2/15x
multiple 15/2 from both sides
50>x
2006-11-25 12:40:47 · answer #4 · answered by 7 · 0⤊ 0⤋
Always start with the parenthesis first. remeber this order for solving equations
Parenthises
P (please)
Exponents
E (excuse)
Multiplication
M (my)
Division
D (dear)
Addition
A (aunt)
Subtraction
S (sally)
perform the actions in that order to properly solve the equaton.
2006-11-25 12:47:28 · answer #5 · answered by William J 2 · 0⤊ 0⤋
x is 59 or lower
2006-11-25 12:41:49 · answer #6 · answered by Anna 2 · 0⤊ 0⤋
you can't
2006-11-25 12:37:03 · answer #7 · answered by wheels 4 · 0⤊ 0⤋
distributive property
2/3x + 2.64 > 4/5x - 4
i dunno wat u do after that
2006-11-25 12:40:58 · answer #8 · answered by agalicktourq 4 · 0⤊ 0⤋