Question

Please help it's homework mula1" title="y - x = 3 \\ xy = 10" alt="y - x = 3 \\ xy = 10" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given equations are :

y-x = 3  ......(1)

xy = 10 or

x = (10/y) ....(2)

Put the value of x in equation (1).

$y-\dfrac{10}{y}= 3\\\\y^2-10=3y\\\\y^2-3y-10=0\\\\y=0\ and\ y=5$

Put the value of y in equation (2).

$x=\dfrac{10}{5}\\\\x=2$

So, the value of x is equal to 2 and that of y is equal to 5.