systems of equations with graphing y=4x-2 and y=x+3

Find the distance between ${\displaystyle (-\frac{1}{4},-\frac{1}{7})}$ and ${\displaystyle (\frac{3}{4},\frac{6}{7})}$ pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.

Solve the system by clennaton $2x-y=0$
$3x-2y=-3$
The solution is ( . )

A sweepstakes gives away $1000000, by giving away $25 in the first week, $75 in the second week, $225 in the third week, and so on.
How many weeks will it take to give away all the prize money?

You text at a rate or 35 words/min. Your classmate — 42 words/min.
a. How much faster does your friend text?
b. How many words can you text in 2.5 minutes?
c. How many words can your friend text in 2.5 minutes?
d. How many more words can your friend text in 2.5 minutes?

solving equations by the method of elimination
$\frac{a}{x}+\frac{b}{y}=\frac{a}{2}+\frac{b}{3}\dots (i)$
$x+1=y\dots (ii)$
We have to solve for x and y, only this time using the method of elimination.
From equation $(ii)$, we get,
$\frac{1}{x+1}=\frac{1}{y}\Rightarrow \frac{b}{x+1}=\frac{b}{y}\dots (iii)$
Subtracting $(iii)$ from $(i)$, we get,
$\frac{a}{x}+\frac{b}{y}-\frac{b}{y}=\frac{a}{2}+\frac{b}{3}-\frac{b}{x+1}$
$\Rightarrow \frac{a}{x}=\frac{a}{2}+\frac{b}{3}-\frac{b}{x+1}$
After that,I really cannot find anything to do.I have taken quite a few other routes, but have hit nothing but dead ends. At this a point a little hint will be appreciated.

How to find the points of intersection in a curve and a line
${\displaystyle y=8\sqrt{x}-2x}$