exam Maths Puzzle Numerical Ability

Can you show me how the text book came up with this answer(step by step)

y=3/5x + 7/10

the book shows the answer as 6x + 10y = 7
Thank you in advance for your help

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exam Other Question

The product of a number and a second number that is 3 more than 5 times the first is 2. Identify the numbers. three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21 (12+9). Find the numbers.