Book Maths Puzzle Algebra

Find an equation for the line that passes through the points of intersection of the circles x^2+y^2=25, and x^2-3x+y^2+y=30 can you explain all the steps thanks

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Book Other Question

If you have 98 pints of gas A and 32 pints of gas B and combined octane is 85%, then you has 40 pints of A and 80 pints of gas B with the combined octaine equaling 75%. what is the octane of A and B? Using matrices solve the system

x - y + z = 17
2x + 3y + z = 8
-4x + y + 5z = -2