# How do you solve the simultaneous equations #x²+y²=5# and #y=3x+1 #?

or

Hence

Hence

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To solve the simultaneous equations ( x^2 + y^2 = 5 ) and ( y = 3x + 1 ), substitute the expression for ( y ) from the second equation into the first equation. This gives you a quadratic equation in terms of ( x ). Solve for ( x ) and then use the solution(s) to find the corresponding values of ( y ) using the second equation.

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