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antiseptic1488 [7]
3 years ago
12

Can someone help me with this equation?

" id="TexFormula1" title="\frac{2x+3}{15} =\frac{9}{10}" alt="\frac{2x+3}{15} =\frac{9}{10}" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
Yuri [45]3 years ago
4 0

\dfrac{2x+3}{15}=\dfrac{9}{10}\qquad\text{cross multiply}\\\\10(2x+3)=(9)(15)\qquad\text{use distributive property}\\\\(10)(2x)+(10)(3)=135\\\\20x+30=135\qquad\text{subtract 30 from both sides}\\\\20x=105\qquad\text{divide both sides by 20}\\\\x=\dfrac{105}{20}\\\\x=5\dfrac{5}{20}\\\\x=5\dfrac{1}{4}\to x=5.25\\\\Answer:\ \boxed{x=5\dfrac{1}{4}=5.25}

Murljashka [212]3 years ago
3 0
Remember that when you bring ÷ to the other side of the equal sign it'll become multiply instead

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