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Middle Years

14.05 Matrices and simultaneous equations

Interactive practice questions

The following matrix equation represents a system of linear equations:

    $x$x $+$+ $y$y    
    $x$x $-$ $y$y    
$=$=
    $5$5    
    $7$7    
a

Fill in the blanks below to complete writing the system of equations represented by the matrix:

$\editable{}$ $=$= $5$5
$\editable{}$ $=$= $\editable{}$
b

We now wish to solve the system of equations. First find the value of $y$y (using a method such as elimination).

Write each line of working as an equation.

c

Hence find the value of $x$x.

Easy
3min

The following matrix equation represents a system of linear equations:

    $x$x $-$ $y$y    
    $4x$4x $+$+ $y$y    
$=$=
    $5$5    
    $-4$4    
Easy
4min

Given the following linear equations:

$x+3y=23$x+3y=23

$4x+2y=32$4x+2y=32

Easy
4min

Given the following linear equations:

$4x+y=49$4x+y=49

$4x+5y=101$4x+5y=101

Easy
3min
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