Final answer:
When the coefficients of x and y are interchanged in two linear equations, we can solve for the variables by setting the equations equal to each other and rearranging them. We can then solve for either x or y and substitute the value into one of the original equations to find the other variable.
Step-by-step explanation:
When the coefficients of x and y are interchanged in two linear equations, we can solve for the variables by setting the equations equal to each other. First, rearrange the equations to isolate x and y.
Then, set the expressions equal to each other and solve for the variables.
For example, let's say we have the equations 2x + 3y = 12 and 5y + 4x = 10.
Rearrange the equations to get x = (12 - 3y)/2 and y = (10 - 4x)/5.
Then, set the expressions equal to each other: (12 - 3y)/2 = (10 - 4x)/5.
Solve for either x or y, and substitute the value into one of the original equations to find the other variable.
Learn more about Solving linear equations