Question
Solve the following system of equations.

Write your answer as an ordered pair in the form

Ask by Macdonald Wyatt. in Canada

Mar 28,2025

Question

Question Solve the following system of equations. $$ \left\{\begin{array}{l}y=x-2 \ 2 x-5 y=1\end{array}\right. $$ Write your answer as an ordered pair in the form $$ (x, y) $$

UpStudy AI · Accepted Answer

1. Substitute $$ y = x - 2 $$ into the equation $$ 2x - 5y = 1 $$:
   $$
   2x - 5(x-2) = 1
   $$
   
2. Distribute and simplify:
   $$
   2x - 5x + 10 = 1
   $$
   $$
   -3x + 10 = 1
   $$

3. Solve for $$ x $$:
   $$
   -3x = 1 - 10
   $$
   $$
   -3x = -9 \quad \Longrightarrow \quad x = 3
   $$

4. Substitute $$ x = 3 $$ back into $$ y = x - 2 $$ to find $$ y $$:
   $$
   y = 3 - 2 = 1
   $$

The solution to the system is $$ (3, 1) $$.
The solution is $$ (3, 1) $$.

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Solve the following system of equations.

Write your answer as an ordered pair in the form

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Question Solve the following system of equations. Write your answer as an ordered pair in the form