1. Given the lines shown here, what are two possible equations for this system of equations?
1 answer:
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The two equation which can be used to solve the problem are:
5n - 3d = 0 and 3n - 2d = -2
<h3><u>Solution:</u></h3>The numerator of the fraction is "n" and the denominator of the fractions is "d"
<em><u>The numerator and denominator of a fraction are in the ratio of 3 to 5</u></em>
numerator : denominator = 3 : 5
On cross-multiplication we get,
5n = 3d
<h3>5n - 3d = 0</h3>This is our first equation
The numerator and denominator are both increased by 2, the fraction is now equal to 2/3
The new numerator will be n + 2 and denominator will be d + 2
On cross multiplication we get,
3(n + 2) = 2(d + 2)
3n + 6 = 2d + 4
<h3>3n - 2d = -2</h3>This is our second equation
Thus the two equation which can be used to solve the problem are:
5n - 3d = 0 and 3n - 2d = -2