![\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]](/tpl/images/0806/1529/0a9e1.png)
by isolating 
to both sides:
to both sides:
:
by 
:
for 
:
to both sides:
:
, substitute for 
onto this equation, which is 
and 
:
have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:
Solving a Two-Step Matrix Equation
Solve the equation:
...
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