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Home » The Most Baffling Questions With No Answers—Shock Your Mind! - 500apps

The Most Baffling Questions With No Answers—Shock Your Mind! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \begin{pmatrix} a(1) + b(3) & a(2) + b(4) \\ c(1) + d(3) & c(2) + d(4) \end{pmatrix} = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}.

📌 This leads to the system:

📌 $ a + 3b = 5 $,

📌 $ 2a + 4b = 6 $,

📌 $ c + 3d = 7 $,

📌 $ 2c + 4d = 8 $.

📌 Solving equations 1 and 2: From 1, $ a = 5 - 3b $. Substituting into 2: $ 2(5 - 3b) + 4b = 6 \Rightarrow 10 - 6b + 4b = 6 \Rightarrow -2b = -4 \Rightarrow b = 2 $. Then $ a = 5 - 6 = -1 $.

📌 Solving equations 3 and 4: From 3, $ c = 7 - 3d $. Substituting into 4: $ 2(7 - 3d) + 4d = 8 \Rightarrow 14 - 6d + 4d = 8 \Rightarrow -2d = -6 \Rightarrow d = 3 $. Then $ c = 7 - 9 = -2 $.

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a + b + c &= 6, \\
4a + 2b + c &= 11, \\
9a + 3b + c &= 18.
Now, we solve the system:
3a + b &= 5, \\
5a + b &= 7.
Substitute \( a = 1 \) back into \( 3a + b = 5 \):
3(1) + b = 5 \implies b = 2.
Substitute \( a = 1 \) and \( b = 2 \) into \( a + b + c = 6 \):
+ 2 + c = 6 \implies c = 3.

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