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Solve the equation given below and find the value of $x$ and $y$ $x + y = 3$ $x - y = 1$

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Solve complex trigonomentric equations

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Q. Solve the equation given below and find the value of

x

and

y

x + y = 3

x - y = 1

Given Equations: Given the system of equations: $\newline$ $1$ . $x + y = 3$ $\newline$ $2$ . $x - y = 1$ $\newline$ We will solve this system using the method of elimination.
Addition to Eliminate y: Add the two equations together to eliminate y: $\newline$ $(x + y) + (x - y) = 3 + 1$ $\newline$ $2x = 4$ $\newline$ Now, divide both sides by $2$ to solve for x: $\newline$ $x = \frac{4}{2}$ $\newline$ $x = 2$
Solving for x: Substitute the value of $x$ back into one of the original equations to solve for $y$ . We'll use the first equation: $\newline$ $x + y = 3$ $\newline$ $2 + y = 3$ $\newline$ Now, subtract $2$ from both sides to solve for $y$ : $\newline$ $y = 3 - 2$ $\newline$ $y = 1$

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