- #1
Bavariadude
- 4
- 0
What do I do when a decimal or a fraction is found only within the parentheses in a linear equation? I know about the general removal process; but my question involves equations like these:
17(2.33 - x) - 35(4 - 30x) = 2
7(4/3 - x) + 24(5x - 60) = 31
Should I distribute first and then get rid of the decimal and fraction? Like so:
17(2.33 - x) - 35(4 - 30x) = 2
39.6 - 17x - 140 + 1050x = 2
396 - 170x - 1400 + 10500x = 20
-170x + 10500x = 20 - 396 + 1400
10330x = 1024
x = 1024/10330
x = 512/5165
7(4/3 - x) + 24(5x - 60) = 31
28/3 - 7x + 120x - 1440 = 31
28 - 21x + 360x - 4320 = 93
- 21x + 360x = 93 - 28 + 4320
339x = 4385
x = 4385/339
17(2.33 - x) - 35(4 - 30x) = 2
7(4/3 - x) + 24(5x - 60) = 31
Should I distribute first and then get rid of the decimal and fraction? Like so:
17(2.33 - x) - 35(4 - 30x) = 2
39.6 - 17x - 140 + 1050x = 2
396 - 170x - 1400 + 10500x = 20
-170x + 10500x = 20 - 396 + 1400
10330x = 1024
x = 1024/10330
x = 512/5165
7(4/3 - x) + 24(5x - 60) = 31
28/3 - 7x + 120x - 1440 = 31
28 - 21x + 360x - 4320 = 93
- 21x + 360x = 93 - 28 + 4320
339x = 4385
x = 4385/339