Question

slove the following equations ​

Answer 1

Answer:..

The answer is -48

Heres your answer

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Answer 2

Answer:

$\frac{\frac{3}{4}x+7}{\frac{2}{5}x-4}=\frac{5}{4}\quad :\quad x=-48$

Step-by-step explanation:

$\frac{\frac{3}{4}x+7}{\frac{2}{5}x-4}=\frac{5}{4}$

$\gray{\mathrm{Simplify\:}\frac{\frac{3}{4}x+7}{\frac{2}{5}x-4}:\quad \frac{5\left(3x+28\right)}{4\left(2x-20\right)}}$

$\frac{5\left(3x+28\right)}{4\left(2x-20\right)}=\frac{5}{4}$

$\gray{\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}$

$5\left(3x+28\right)\cdot \:4=4\left(2x-20\right)\cdot \:5$

$\gray{\mathrm{Simplify}}$

$20\left(3x+28\right)=20\left(2x-20\right)$

$\gray{\mathrm{Expand\:}20\left(3x+28\right):\quad 60x+560}$

$\gray{\mathrm{Expand\:}20\left(2x-20\right):\quad 40x-400}$

$60x+560=40x-400$

$\gray{\mathrm{Subtract\:}560\mathrm{\:from\:both\:sides}}$

$60x+560-560=40x-400-560$

$\gray{\mathrm{Simplify}}$

$60x=40x-960$

$\gray{\mathrm{Subtract\:}40x\mathrm{\:from\:both\:sides}}$

$60x-40x=40x-960-40x$

$\gray{\mathrm{Simplify}}$

$20x=-960$

$\gray{\mathrm{Divide\:both\:sides\:by\:}20}$

$\frac{20x}{20}=\frac{-960}{20}$

$\gray{\mathrm{Simplify}}$

$x=-48$