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Find the value of (x/y)^2 given x + y = 3 and x - y = 9
Published on October 21, 2024
Algebra
By solving the system of equations x + y = 3 and x - y = 9, we find x = 6 and y = -3. Then, substituting these values into (x/y)^2, we get 4.
Question
Answer
We are given the following system of equations:
and we want to find
Step 1: Solve for one variable in terms of the other.
Let’s solve the first equation for
Step 2: Substitute the expression from Step 1 into the second equation.
Substituting
Step 3: Solve for the remaining variable.
Simplifying the equation from Step 2:
Step 4: Substitute the value found in Step 3 back into either of the original equations to solve for the other variable.
Let’s substitute
Step 5: Substitute the values of
Substituting