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baherus [9]
2 years ago
7

8x/10x-2 equals 5x+3/7x solve for x

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

<u>Answer:</u>

x = \frac{1}{3} & 3

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

\frac{8x}{10x-2} = \frac{5x+3}{7x}

Cross multiply:

\frac{8x}{10x-2} = \frac{5x+3}{7x}   ⇒   (8x)(7x) = (5x+3)(10x-2)

Simplify both sides:

(8x)(7x) = (5x+3)(10x-2)   ⇒   56x² = 50x²+20x-6

Set equation equal to 0:

56x² = 50x²+20x-6   ⇒   0 = -6x²+20x-6

Factor the trinomial:

0 = -6x²+20x-6 = (-6x+2)(x-3)

Solve for X:

-6x+2 = 0

-6x = -2

x = \frac{1}{3};

x-3 = 0

x = 3;

x = \frac{1}{3}, 3

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