2 years ago

Solve the following equation 5x-3(x-2)=10+x

Mathematics

1 answer:

Lerok [7]2 years ago

6 0

<h2>Solving Equations</h2><h3>Answer:</h3>

$x = 4$

<h3>Step-by-step explanation:</h3>

$5x -3(x -2) = 10 +x \\ 5x -3x +6 = 10 +x \\ 2x +6 = 10 +x \\ 2x +6 -x = 10 +x -x \\ x +6 = 10 \\ x +6 -6 = 10 -6 \\ x = 4$

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Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

$BI \cong ST.... (given) \\$

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

$\frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\\frac{x}{12} = \frac{4}{x}\\\\x\times x = 12\times 4\\\\x^2 = 48\\\\x=\sqrt{48}\\\\x = 6.92820323\\\\x = 6.93\\$

Therefore,

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