Question

Find the points of intersection of the graphs of the equations.(2 separate questions)
1.(x^2)+(y^2)=25
2x+y=10
2.(x^2)+(y^2)=5
x-y=1

Answer 1

Have you considered substitution?

1) \(x^{2} + y^{2} = 25\)

2) \(2x + y = 10 \implies y = 10-2x\;and\;y^{2} = (10 - 2x)^{2}\)

Substituting 2) into 1)

\(x^{2} + (10 - 2x)^{2} = 25\)

Expand, simplify where possible, and solve.