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fredd [130]
3 years ago
6

Can someone assist me with this?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

29: 7

Step-by-step explanation:

\frac{8}{3x - y}  =  \frac{5}{x + 3y}

<em>Cross</em><em> </em><em>multiply</em><em>:</em>

8(x + 3y) = 5(3x - y)

<em>Expand</em><em> </em><em>bracket</em><em>:</em>

8x + 24y = 15x - 5y

<em>Bring</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>y</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>

15x - 8x = 24y + 5y

<em>Simplify</em><em>:</em>

<em>7x = 29y</em>

<em>Divide</em><em> </em><em>by</em><em> </em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

x =  \frac{29}{7} y

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>y</em><em>:</em>

<em>\frac{x}{y}  =  \frac{29}{7}</em>

∴ The ratio of x to y is 29:7.

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