AI Math
ऐप खोलें
algebra · worked example

Solve निकाय: 3x+2y=12 और x-y=1

Method: प्रतिस्थापन. Verified step-by-step solution with our free AI math solver.
Problem

{3x+2y=12x−y=1\begin{cases} 3x + 2y = 12 \\ x - y = 1 \end{cases}

Step-by-step solution

  1. दूसरे समीकरण को xx के लिए हल करें: x=y+1x = y + 1।

  2. पहले समीकरण में प्रतिस्थापित करें: 3(y+1)+2y=123(y + 1) + 2y = 12।

  3. विस्तार करें: 3y+3+2y=123y + 3 + 2y = 12, अतः 5y=95y = 9।

  4. हल करें: y=95y = \tfrac{9}{5}।

  5. वापस प्रतिस्थापित करें: x=95+1=145x = \tfrac{9}{5} + 1 = \tfrac{14}{5}।

Answer

(x,y)=(145, 95)(x, y) = \bigl(\tfrac{14}{5},\ \tfrac{9}{5}\bigr)

Want to solve a different problem? Open the system-of-equations solver →

Related worked examples