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A system of equations and its solution are given below:
[tex]\[
\begin{array}{c}
\text{System } A \\
x - y = 7 \\
-3x + 9y = -39 \\
\text{Solution: } (4, -3)
\end{array}
\][/tex]

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

System B:
[tex]\[
\begin{aligned}
x - y & = 7 \\
6y & = -18
\end{aligned}
\][/tex]

To get system B, the [tex]\(\square\)[/tex] equation in system A was replaced by the sum of that equation and [tex]\(\square\)[/tex] times the [tex]\(\square\)[/tex] equation.

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 3 times the first equation.

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