3 /x = 4 /2x
Use cross multiplication to
• determine the value(s) of x that will make the equation true, or
• determine that any value of x will make the equation true, or
• determine that any value of x, except zero, will make the equation true, or
• determine that no value of x will make the equation true.
4x = 6x Cross multiplied
4x – 4x = 6x – 4x Added – 4x to both sides
0 = 2x Collected terms
2x = 0 Exchanged sides
2x/2=0/2 Divided both sides by 2
x = 0 Simplify
However: x = 0 can not be a valid solution since the original problem included division by x. Thus, no value of x can solve the problem.
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