Solve for x in the equation- 2x-3-1-7x-15-3

2x/3+1=7x/15+3 ⇒2x/3 7x/15=3 1 ⇒10x 7x/15=2 ⇒ 3x=30 ⇒ x=30/3=10 To check: 2x/3+1=7x/15+3 ⇒2 × 10/3+1 =7 × 10/15+3 ⇒20/3+1=14/3+3 ⇒20+3/3=14+9/3 ⇒23/3=23/3 ⇒ L.H ...

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Standard X

Mathematics

Roots of a Quadratic Equation

Solve for x i...

Question

Solve for $x$ in the equation: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$

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Solution

$\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$
$\Rightarrow \frac{2 x}{3} - \frac{7 x}{15} = 3 - 1$
$\Rightarrow \frac{10 x - 7 x}{15} = 2$
$\Rightarrow 3 x = 30$
$\Rightarrow x = \frac{30}{3} = 10$
To check:
$\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$
$\Rightarrow \frac{2 \times 10}{3} + 1 = \frac{7 \times 10}{15} + 3$
$\Rightarrow \frac{20}{3} + 1 = \frac{14}{3} + 3$
$\Rightarrow \frac{20 + 3}{3} = \frac{14 + 9}{3}$
$\Rightarrow \frac{23}{3} = \frac{23}{3}$
$\Rightarrow L . H . S = R . H . S$ .
Hence, it is correct.

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Solve for x in the equation: 2x3+1=7x15+3

2x3+1=7x15+3 ⇒2x3−7x15=3−1 ⇒10x−7x15=2 ⇒3x=30 ⇒x=303=10 To check: 2x3+1=7x15+3 ⇒2×103+1=7×1015+3 ⇒203+1=143+3 ⇒20+33=14+93 ⇒233=233 ⇒L.H.S=R.H.S. Hence, it is correct.

Solve for $x$ in the equation: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$