solve the simultaneous equations x^2 + y^2 = 5 and 3x+1=y

Substitute in y to the first equationx2 + (3x+1)2 = 510x2 + 6x - 4 = 55x2+3x-2=0(5x-2)(x+1)x=2/5 or -1Sub these values of x into the first equationy=11/5 and -2

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I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?


64^-1/3


Solve 5x – 2 > 3x + 11.


A linear sequence begins: a + 2b, a + 6b, a + 10b, ..., ... Given that the 2nd term has a value of 8 and the 5th term has a value of 44, calculate the values for a and b