Question 1150726
<br>
{{{y = a/x^2}}} a is the constant of variation
{{{z = bx^2}}} b is the constant of variation<br>
x=2: {{{a/4+4b = 340}}}<br>
x=1: {{{a/1-1b = 1275}}}<br>
Multiply the first equation by 4 and subtract the second equation to eliminate a and solve for b.<br><pre>
   a+16b = 1360
   a- 1b = 1275
  --------------
     17b = 85</pre>
b = 5<br>
Substitute into the first equation and solve for a.<br><pre>
a/4+4(5) = 340
a/4 = 320
a = 1280<br></pre>
y = z:<br>
{{{a/x^2 = bx^2}}}
{{{1280/x^2 = 5x^2}}}
{{{256 = x^4}}}
{{{x=4}}} or {{{x=-4}}}<br>
ANSWER: x = 4 or x = -4<br>