QuestionSolve these equations for $x$ : 1. $16x = 176$ , 2. $16x = 8$ , 3. $16x = 1$ , 4. $\frac{1}{5}x = 1$ , 5. $\frac{2}{5}x = 1$ .

Studdy Solution

STEP 1

Assumptions1. The equations are linear equations of the form $ax = b$ , where $a$ and $b$ are constants. . We are solving for $x$ .

STEP 2

The general solution for equations of the form $ax = b$ is given by $x = \frac{b}{a}$

STEP 3

olving the first equation $16x =176$ by substituting $a =16$ and $b =176$ into the general solution $x = \frac{176}{16}$

STEP 4

Calculate the value of $x$ for the first equation.
$x = \frac{176}{16} =11$

STEP 5

olving the second equation $16x =8$ by substituting $a =16$ and $b =8$ into the general solution $x = \frac{8}{16}$

STEP 6

Calculate the value of $x$ for the second equation.
$x = \frac{8}{16} =0.5$

STEP 7

olving the third equation $16x =1$ by substituting $a =16$ and $b =1$ into the general solution $x = \frac{1}{16}$

STEP 8

The value of $x$ for the third equation is already calculated.
$x = \frac{1}{16}$

STEP 9

olving the fourth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

STEP 10

Calculate the value of $x$ for the fourth equation.
$x = \frac{}{\frac{}{5}} =5$

STEP 11

olving the fifth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

STEP 12

Calculate the value of $x$ for the fifth equation.
$x = \frac{}{\frac{2}{5}} =2.5$ So, the solutions for the equations are. $x =11$
2. $x =0.5$ . $x = \frac{}{16}$
4. $x =5$
5. $x =2.5$

Was this helpful?

QuestionSolve these equations for $x$ : 1. $16x = 176$ , 2. $16x = 8$ , 3. $16x = 1$ , 4. $\frac{1}{5}x = 1$ , 5. $\frac{2}{5}x = 1$ .

Studdy Solution

STEP 1

Assumptions1. The equations are linear equations of the form $ax = b$ , where $a$ and $b$ are constants. . We are solving for $x$ .

STEP 2

The general solution for equations of the form $ax = b$ is given by $x = \frac{b}{a}$

STEP 3

olving the first equation $16x =176$ by substituting $a =16$ and $b =176$ into the general solution $x = \frac{176}{16}$

STEP 4

Calculate the value of $x$ for the first equation.
$x = \frac{176}{16} =11$

STEP 5

olving the second equation $16x =8$ by substituting $a =16$ and $b =8$ into the general solution $x = \frac{8}{16}$

STEP 6

Calculate the value of $x$ for the second equation.
$x = \frac{8}{16} =0.5$

STEP 7

olving the third equation $16x =1$ by substituting $a =16$ and $b =1$ into the general solution $x = \frac{1}{16}$

STEP 8

The value of $x$ for the third equation is already calculated.
$x = \frac{1}{16}$

STEP 9

olving the fourth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

STEP 10

Calculate the value of $x$ for the fourth equation.
$x = \frac{}{\frac{}{5}} =5$

STEP 11

olving the fifth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

STEP 12

Calculate the value of $x$ for the fifth equation.
$x = \frac{}{\frac{2}{5}} =2.5$ So, the solutions for the equations are. $x =11$
2. $x =0.5$ . $x = \frac{}{16}$
4. $x =5$
5. $x =2.5$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve these equations for xxx: 1. 16x=17616x = 17616x=176, 2. 16x=816x = 816x=8, 3. 16x=116x = 116x=1, 4. 15x=1\frac{1}{5}x = 151​x=1, 5. 25x=1\frac{2}{5}x = 152​x=1.

Studdy Solution

STEP 1

Assumptions1. The equations are linear equations of the form ax=bax = bax=b, where aaa and bbb are constants. . We are solving for xxx.

STEP 2

The general solution for equations of the form ax=bax = bax=b is given byx=bax = \frac{b}{a}x=ab​

STEP 3

olving the first equation 16x=17616x =17616x=176 by substituting a=16a =16a=16 and b=176b =176b=176 into the general solutionx=17616x = \frac{176}{16}x=16176​

STEP 4

Calculate the value of xxx for the first equation.x=17616=11x = \frac{176}{16} =11x=16176​=11

STEP 5

olving the second equation 16x=816x =816x=8 by substituting a=16a =16a=16 and b=8b =8b=8 into the general solutionx=816x = \frac{8}{16}x=168​

STEP 6

Calculate the value of xxx for the second equation.x=816=0.5x = \frac{8}{16} =0.5x=168​=0.5

STEP 7

olving the third equation 16x=116x =116x=1 by substituting a=16a =16a=16 and b=1b =1b=1 into the general solutionx=116x = \frac{1}{16}x=161​

STEP 8

The value of xxx for the third equation is already calculated.x=116x = \frac{1}{16}x=161​

STEP 9

olving the fourth equation 5x=\frac{}{5}x =5​x= by substituting a=5a = \frac{}{5}a=5​ and b=b =b= into the general solutionx=5x = \frac{}{\frac{}{5}}x=5​​

STEP 10

Calculate the value of xxx for the fourth equation.x=5=5x = \frac{}{\frac{}{5}} =5x=5​​=5

STEP 11

olving the fifth equation 5x=\frac{}{5}x =5​x= by substituting a=5a = \frac{}{5}a=5​ and b=b =b= into the general solutionx=5x = \frac{}{\frac{}{5}}x=5​​

STEP 12

Calculate the value of xxx for the fifth equation.x=25=2.5x = \frac{}{\frac{2}{5}} =2.5x=52​​=2.5So, the solutions for the equations are. x=11x =11x=112. x=0.5x =0.5x=0.5 . x=16x = \frac{}{16}x=16​4. x=5x =5x=55. x=2.5x =2.5x=2.5

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve these equations for $x$ : 1. $16x = 176$ , 2. $16x = 8$ , 3. $16x = 1$ , 4. $\frac{1}{5}x = 1$ , 5. $\frac{2}{5}x = 1$ .

Assumptions1. The equations are linear equations of the form $ax = b$ , where $a$ and $b$ are constants. . We are solving for $x$ .

The general solution for equations of the form $ax = b$ is given by $x = \frac{b}{a}$

olving the first equation $16x =176$ by substituting $a =16$ and $b =176$ into the general solution $x = \frac{176}{16}$

Calculate the value of $x$ for the first equation.
$x = \frac{176}{16} =11$

olving the second equation $16x =8$ by substituting $a =16$ and $b =8$ into the general solution $x = \frac{8}{16}$

Calculate the value of $x$ for the second equation.
$x = \frac{8}{16} =0.5$

olving the third equation $16x =1$ by substituting $a =16$ and $b =1$ into the general solution $x = \frac{1}{16}$

The value of $x$ for the third equation is already calculated.
$x = \frac{1}{16}$

olving the fourth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

Calculate the value of $x$ for the fourth equation.
$x = \frac{}{\frac{}{5}} =5$

olving the fifth equation $\frac{}{5}x =$ by substituting $a = \frac{}{5}$ and $b =$ into the general solution $x = \frac{}{\frac{}{5}}$

Calculate the value of $x$ for the fifth equation.
$x = \frac{}{\frac{2}{5}} =2.5$ So, the solutions for the equations are. $x =11$
2. $x =0.5$ . $x = \frac{}{16}$
4. $x =5$
5. $x =2.5$