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jonny [76]
2 years ago
11

Solve the following proportion by cross multiplying: ( x - 3 ) / 4 = ( 2x + 2 ) / 6

Mathematics
2 answers:
Inessa05 [86]2 years ago
7 0
<h3><u>Solution</u> :</h3>

\implies \:  \sf{ \dfrac{x \:  - \:  3}{4}  \:  =   \:  \dfrac{2x \:  +  \: 2}{6} } \\  \\  \implies \:  \sf{6( x \:  - \:  3)  \:  =   \:4(2x \:  +  \: 2)} \: \\  \\ \implies \:  \sf{6 \times ( x \:  - \:  3)  \:  =   \: (2x \:  +  \: 2)}\\  \\ \implies \:  \sf{6x \:  -  \: 18  \:  =   \:8x \:  +  \: 8}\\  \\  \implies \sf{6x \:  -  \: 8x \:  =   \:18\:  +  \: 8}\\  \\ \implies \sf{ - 2x \:  =   \:18\:  +  \: 8}\\  \\ \implies \sf{ - 2x \:  =    \: 26}\\  \\ \implies \sf{ - x \:  =    \:  \dfrac{26}{2} }\\  \\ \implies \sf{ - x \:  =    \:   \cancel{\dfrac{26}{2} }}\\  \\ \implies \sf{ - x \:  =    \: 13}\\  \\ \implies  \red{\bf{ x \:  =    \:  - 13}}

vichka [17]2 years ago
6 0

Answer:

- 13

Step-by-step explanation:

Solving

\frac{(x - 3)}{4} =  \frac{(2x + 2)}{6}   \\  \\ cross \: multiplying \\ 6 \times (x - 3) = 4 \times (2x + 2) \\ 6x - 18 = 8x + 8 \\ 6x - 8x = 8 + 18 \\  - 2x = 26 \\ dividing \: bothsides \: by \:  - 2 \\  \frac{ - 2x}{ - 2}  =  \frac{26}{ - 2}  \\ x =  - 13

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