Answer
Explanation given below.
Work Step by Step
A system of two linear equations is a mathematical problem in which we search for ordered pairs of numbers that satisfy two linear equations at the same time.
An equation is linear if it can be written in the form $Ax+By=C$
(the variables x and y have an exponent of 1, ($x^{1}=1, y^{1}=y$)
and A and B are not both zero.
Examples of linear equations:
$3x-y=0,$
$2\mathrm{y}=-5x+5,$
$x=6$
$7=-y$, etc
A system of linear equations consists of two such equations that need to be true simultaneously.
An example of a system of linear equations:
$\left\{\begin{array}{l}
3x-y=0\\
2\mathrm{y}=-5x+
\end{array}\right.$
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$\text{A solution of a system} $ of linear equations
is any ordered pair of numbers that satisfy the two linear equations at the same time.
For example,
$(1,2)$ is a solution of the system $\left\{\begin{array}{l}
2x-y=0\\
x+y=3
\end{array}\right.\qquad $
because $\left\{\begin{array}{l}
2(1)-(2)=0\\
1+2=3
\end{array}\right.$
(the equations are satisfied when x and y are substituted by 1 and 2, respectively.)
