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solve the equation 3.75x+3.7=1.7+1.75xA 10 B -1 C 1D .1

Solve The Equation 375x3717175xA 10 B 1 C 1D 1 class=

Sagot :

The question is given to be:

[tex]3.75x+3.7=1.7+1.75x[/tex]

Step 1

Multiply every number by 100:

[tex]\begin{gathered} 3.75x\cdot100+3.7\cdot100=1.7\cdot100+1.75x\cdot100 \\ 375x+370=170+175x \end{gathered}[/tex]

Step 2

Subtract 370 from both sides:

[tex]\begin{gathered} 375x+370-370=170+175x-370 \\ 375x=175x-200 \end{gathered}[/tex]

Step 3

Subtract 175x from both sides:

[tex]\begin{gathered} 375x-175x=175x-200-175x \\ 200x=-200 \end{gathered}[/tex]

Step 4

Divide both sides by 200:

[tex]\begin{gathered} \frac{200x}{200}=-\frac{200}{200} \\ x=-1 \end{gathered}[/tex]

ANSWER

The correct option is OPTION B, the SECOND OPTION.

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