Question 1128374
Solving a System of Equations. Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in ordered-pair form.

3/4x+1/2y=5
-1/4x-3/2y=1
<pre>That's the most inefficient, most time-consuming, and most error-prone method I've ever seen one use to solve a system of equations, 
if I ever saw one. It is so inefficient and CONFUSING to the point where the woman who solved it got WRONG solutions. Her solutions 
DO NOT SATISFY THE EQUATIONS, so IGNORE HER ENTIRE SOLUTION. Plus, why would someone even try to solve a fractional system by graphing? RIDICULOUS!

I assume the system is:            {{{matrix(1,3, (3/4)x + (1/2)y, "=", 5)}}} ------ eq (i)
                                   {{{matrix(1,3, (- 1/4)x - (3/2)y, "=", 1)}}} ---- eq (ii) 
Just multiply eq (ii) by 3 to get: {{{matrix(1,3, (- 3/4)x - (9/2)y, "=", 3)}}} ---- eq (iii)
Adding eqs (i) & (iii) results in: {{{matrix(1,3, (1/2)y - (9/2)y, "=", 8)}}}
{{{matrix(1,3, (- 8/2)y, "=", 8)}}}		
- 4y = 8
{{{highlight_green(matrix(1,3, y, "=", highlight(- 2))))}}}		
Substitute - 2 for y in any of the original equations and you should get: {{{highlight_green(matrix(1,3, x, "=", 8))}}}
That's all! Nothing more, nothing less!!