# MATH1151 help (1 Viewer)

#### InteGrand

##### Well-Known Member
View attachment 33851

It's asking us to write down the set of solutions to those equations (viewing them as an equation in the mentioned number of variables).

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#### InteGrand

##### Well-Known Member
$\bg_white \noindent For example in the first one, the solution set is just \left\{\frac{5}{2}\right\} if viewed as an equation in one variable, whilst it is \left\{(x_{1}, x_{2})\in \mathbb{R}^{2}: x_{1} = \frac{5}{2}\right\} if viewed as an equation in two real variables (basically x_{1} = \frac{5}{2} and x_{2}\in \mathbb{R}, i.e. x_{2} can be anything).$

#### reyarama

##### New Member
Thankyou , I assume in three variables it would follow the same way e.g {(x1,x2,x3) in R3: x1 = 5/2 }

#### reyarama

##### New Member
Also another quick one, I was wondering how to format an answer for this :

For two variables:

at the moment i have { (x1,x2) in R2 ; x1= 4-2*x2 , x2 = (4-x1)/2

edit:

i suppose this could also be written as {( M , (4-M)/2) in R2 ; M in R } ??

Last edited:

#### InteGrand

##### Well-Known Member
Also another quick one, I was wondering how to format an answer for this :

View attachment 33852

For two variables:

at the moment i have { (x1,x2) in R2 ; x1= 4-2*x2 , x2 = (4-x1)/2

edit:

i suppose this could also be written as {( M , (4-M)/2) in R2 ; M in R } ??
$\bg_white \noindent In two variables, the solution set can be written as \left\{\left(a, \frac{4-a}{2}\right) : a \in \mathbb{R}\right\}, or equivalently \left\{\left(4-2a, a\right) : a \in \mathbb{R}\right\}.$