Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[3]

Determine the values of $x$ for which $|2x - 5| = |x + 6|$.

(b)[2]

Hence determine the value of $y$ for which $|2^{1-y} - 5| = |2^{2-y} + 6|$. Give your answer to $3$ significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply the equation after removing the modulus signs $(2x-5)^2=(x+6)^2$ or the pair of linear equations

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