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A system of equations and its solution are given below.

System A
[tex]
\begin{aligned}
x - y &= 3 \\
-2x + 4y &= -2 \\
\text{Solution:} & \quad (5,2)
\end{aligned}
[/tex]

Complete the sentences to explain what steps were followed to obtain the system of equations below.

System B
[tex]
\begin{aligned}
x - y &= 3 \\
2x &= 10
\end{aligned}
[/tex]

To get System B, the [tex]$\square$[/tex] equation in System [tex]$A$[/tex] was replaced by the sum of that equation and the [tex]$\square$[/tex] equation multiplied by [tex]$\square$[/tex].

The solution to System B [tex]$\square$[/tex] the same as the solution to System A.


Sagot :

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 2.

The solution to system B is the same as the solution to system A.
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