Question

What is the solution to this equations ₓ+₂y/₄ =ₓ+y+₁/₇ = ₂ₓ+y/₁₀?​

Answer 1

To solve the given equations, find the common denominator and combine the equations. Simplify and combine like terms to solve for the values of ₓ and y.

Step-by-step explanation:

To solve the equations, we can find the common denominator and then combine the equations. Let's start by finding the common denominator:

1. ₓ + ₂y/₄ -> multiply both sides by 28 to get 7ₓ + 14y = 7ₓ + 7y + 7/4
2. ₓ + y + ₁/₇ -> multiply both sides by 28 to get 28ₓ + 28y + 4 = 4ₓ + 4y + 4/7
3. ₂ₓ + y/₁₀ -> multiply both sides by 28 to get 56ₓ + 28y = 2ₓ + 2y + 2/10

Now, we can combine the equations:

7ₓ + 14y = 7ₓ + 7y + 7/4

28ₓ + 28y + 4 = 4ₓ + 4y + 4/7

56ₓ + 28y = 2ₓ + 2y + 2/10

By simplifying and combining like terms, we can solve for the values of ₓ and y.