4x - 10y = 12 2 (2x - 5y) = 12 2x - 5y = 12 / 2 2x - 5y = 6 **This is the real answer. Now, **if you want to find "x", it will be, 2x - 5y = 6 2x = 6 + 5y x = (6 + 5y) / 2
And, if you want to find "y", it will be, 2x - 5y = 6 5y = 2x - 6 y = (2x - 6) / 5**
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The solution of **equation 4x - 10y = 12 **is x = (5y + 6) / 2 in **terms **of y.
To find the **solution **to the **equation **4x - 10y = 12, we need to solve for either x or y. Let's solve for x in terms of y using algebraic manipulation.
Starting with the equation 4x - 10y = 12, we can isolate x by adding 10y to both sides of the equation:
4x = 10y + 12
Next, **divide **both sides of the equation by 4 to solve for x:
x = (10y + 12) / 4
**Simplifying **further, we have:
x = (5y + 6) / 2
Now we have an expression for x in terms of y. This means that for any given value of y, we can substitute it into the equation to find the corresponding value of x. The equation represents a linear **relationship **between x and y.
To learn more about the linear equation;
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The equation 4 x − 10 y = 12 can be solved for x in terms of y as x = 2 5 y + 3 . Alternatively, it can also be solved for y in terms of x as y = 5 2 x − 6 . This shows the linear relationship between the two variables.
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