Question

Hello can some one please hep me solve these problems most of them require more then one solutio so please try to fid all of them will mark brainliest for first one to get all right thank you.

2− 5m/2 −10=4
Rewrite without absolute value for the given condition: y=|10−x|, if x<10
|2/ 3 q−1|=5
|1− 3k/4|=7
|3z−7|−4=0
y=|x−3|+|x+2|−|x−5|, if x<−2 find y
y=|x−3|+|x+2|−|x−5|, if −2 |n/2 − 1/3 |−1= 1/6

Answer 1

Given : Equations using | Mod |

To find : Convert into normal equations

Solution:

y=|10−x|, if x<10

x = 10 - a   a > 0

=> a = 10 - x

=> y = | 10 - (10 - a) |

=> y =  | a |

=> y = a   as a > 0

=> y = 10 - x

=> x + y = 10

|2/ 3 q−1|=5

=> 2/ 3 q−1  = ± 5

=> 2/ 3 q = 6   or 2/ 3 q = -4

=> q = 9  or  q = - 6

|1− 3k/4|=7

=> 1 - 3k/4 = ±7

=> -3k/4 = 6  or -3k/4 = -8

=> k = - 8 or k = 32/3

|3z−7|−4=0

=> 3z - 7 = ±4

=> 3z = 11  or 3z = 3

=> z = 11/3   or z = 1

y=|x−3|+|x+2|−|x−5|, if x<−2

x = -2 - a  a > 0   => a = -2 - x

y = | -2 - a - 3 | + | -2 - a + 2 |  - | -2 - a - 5 |

y = | -5 - a | + | - a |  -  | - 7 - a|

y = 5 + a + a - ( 7 + a)

y = a - 2

y = -2 - x - 2

=> y = -(x + 4)

Learn more:

Find Y÷y+1=5÷12.linear equation chapter. - Brainly.in

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