Representing linear equations for a word problem

Q.

How do you solve$3$ equations with $3$ variables $?$

Q.

The sum of the areas of two squares is $468m^2$.

If the difference of their perimeters is $24m$, find the sides of the two squares.

Q.

If the speed of the boat in still water is $x\frac{km}{h}$ and speed of the stream is $y\frac{km}{h}$ .

S1 : upstream speed of the boat is $(x-y)\frac{km}{h}$

S2 : downstream speed of the boat is $(x+y)\frac{km}{h}$

1. S1 and S2 are true

2. S1 and S2 are both false

3. S1 is true and S2 is false

4. S1 is false and S2 is true

Q.

Write an equation for each of the following statements :

$3$ times a number $x$ added to $5$ times another number$y$ is equal to $48.$

Q. Sum of the areas of two squares is $640m^2$, if the difference of their perimeters is $64m$, find the sides of two squares.

Q. Half the perimeter of a rectangular garden, whose length is 4 m more than it's breadth, is 16 m, then the dimensions of the garden are .

1. $12m\&4m$
2. $10m\&6m$
3. $9m\&7m$
4. $11m\&5m$