the graphs of $$$y=|x+2 k|$$$ and $$$y=|2 x-3 k|$$$, where $$$k$$$ is a positive constant. Find, in terms of $$$k$$$, the coordinates of each of the two points where the graphs intersect. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_m20_qp_22 Year：2020 Question No：5(b)

Answer:

State or imply non-modulus equation $(x+2 k)^{2}=(2 x-3 k)^{2}$ or pair of linear equations
Attempt solution of 3-term quadratic equation or pair of linear equations
Obtain $x=\frac{1}{3} k, \quad x=5 k$
Obtain $y=\frac{7}{3} k, \quad y=7 k$

Knowledge points:

2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)

Answer:

Knowledge points:

Solution:

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