Final answer:
The value of x in terms of y given the equation 2x = 10y = 20 is x = 10, when assuming that both expressions are equal to 20 and solving separately. In a general sense, when solving 2x = 10y, the solution is x = 5y.
Step-by-step explanation:
The given equation is 2x = 10y = 20. However, the equal signs imply there might be a typographical error, as an equation typically would not have two equal signs connecting three terms without clarification. Assuming the intention is that each expression is equal to 20, this would give us two separate equations: 2x = 20 and 10y = 20. To solve for x in terms of y using the equation 10y = 20, we first isolate y:
- Divide both sides by 10 to find y: y = 20/10
- Simplify: y = 2
Now using the equation 2x = 20 and the value of y:
- Substitute y into the equation: Since y = 2 and 10y = 20, we can infer that 2x = 10y.
- Simplify: 2x = 10(2)
- Divide both sides by 2 to find x: x = 10
The value of x in terms of y is x = 10 when y = 2. In a more complex situation where y is not immediately known, you would solve for x by dividing both sides of the equation 2x = 10y by 2, resulting in x = 5y.