If 2x+y x + y = 16 and 4x−y=132 x − y = 1 32 , find the values of x and y.

Assessment: JAMB UTME - Mathematics - 2019 Subject: General Mathematics

Question 1 Report

If 2 $^{x + y}$ = 16 and 4 $^{x - y} = \frac{1}{32}$ , find the values of x and y.

x =

\frac{3}{4}

, y =

\frac{11}{4}

x =

\frac{3}{4}

, y =

\frac{13}{4}

x =

\frac{2}{3}

, y =

\frac{4}{5}

x =

\frac{2}{3}

, y =

\frac{13}{4}

Answer Details

2 $^{x + y}$ = 16 ; 4 $^{x - y}$ = $\frac{1}{32}$ .
$⟹ 2^{x + y} = 2^{4}$
$x + y = 4 . . . (1)$
$2^{2 (x - y)} = 2^{- 5}$
$2^{2 x - 2 y} = 2^{- 5}$
$⟹ 2 x - 2 y = - 5 . . . (2)$
Solving the equations (1) and (2) simultaneously, we have
x = $\frac{3}{4}$ and y = $\frac{13}{4}$

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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