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Point of Intersection of x^2+y^2=25 and 2x+y=10
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This is asking where a CIRCLE and a LINE intersect. First, I sketched it so that I could get a feel for how many solutions there would be.
Step 1. Isolate y in the linear equation
Step 2. Use that to substitute into the equation of the circle
Step 3. Expand and simplify to get a quadratic equation = 0
Step 4. Solve (Factoring works here) for x
Step 5. Plug those values into the original linear equation to get corresponding y values
Step 1. Isolate y in the linear equation
Step 2. Use that to substitute into the equation of the circle
Step 3. Expand and simplify to get a quadratic equation = 0
Step 4. Solve (Factoring works here) for x
Step 5. Plug those values into the original linear equation to get corresponding y values
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