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Ashur solves the following system of linear equations:
[tex]\[ \left\{
\begin{array}{l}
-3a + 7b = -16 \\
-9a + 5b = 16
\end{array}
\right. \][/tex]

Which statement is true about the solution to this system of equations?

A. The values of [tex][tex]$a$[/tex][/tex] and [tex][tex]$b$[/tex][/tex] are both equal to -4.
B. The values of [tex][tex]$a$[/tex][/tex] and [tex][tex]$b$[/tex][/tex] are both equal to 4.
C. The value of [tex][tex]$a$[/tex][/tex] is equal to 4, and [tex][tex]$b$[/tex][/tex] is equal to -4.
D. The value of [tex][tex]$a$[/tex][/tex] is equal to -4, and [tex][tex]$b$[/tex][/tex] is equal to 4.



Answer :

GinnyAnswer
To solve the system of linear equations:

[tex]\[ \left\{ \begin{array}{l} -3a + 7b = -16 \\ -9a + 5b = 16 \end{array} \right. \][/tex]

we need to find the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].

Based on the provided solution steps and the obtained numerical results, we determine the solution as follows:

The solution to this system of equations yields:

[tex]\[ a = -4 \][/tex]
[tex]\[ b = -4 \][/tex]

Therefore, the correct statement about the solution to this system of equations is:

The values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are both equal to [tex]\(-4\)[/tex].

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