9514 1404 393
Answer:
(x, y) = (61/23, 36/23)
Step-by-step explanation:
We assume you intend the equations to be ...
Then in general form, they are ...
5x -4y -7 = 0
2x +3y -10 = 0
The solution using the "cross multiplication method" is ...
1/(15 +8) = x/(40+21) = y/(-14 +50)
(x, y) = (61/23, 36/23)
_____
Comment on "cross multiplication method"
When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...
[tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]
the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.
