Solve this simultaneous linear and quadratic equation by using subtraction method, 2x-y=8 3x-y=17

April 9, 2026Mathematics

ScanSolve AI Answer

April 9, 2026

Answer

x=9, y=10

Step 1: Write down the given equations. $2x - y = 8 \quad \text{(1)}$ $3x - y = 17 \quad \text{(2)}$

Step 2: Subtract equation (1) from equation (2) to eliminate $y$ . $(3x - y) - (2x - y) = 17 - 8$ $3x - y - 2x + y = 9$ $x = 9$

Step 3: Substitute the value of $x$ into equation (1) to solve for $y$ . $2(9) - y = 8$ $18 - y = 8$ $-y = 8 - 18$ $-y = -10$ $y = 10$

The solution is $x=9$ and $y=10$ .

$\boxed{x=9, y=10}$

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Quick Answer

Write down the given equations. 2x - y = 8 (1) 3x - y = 17 (2) Step 2: Subtract equation (1) from equation (2) to eliminate y.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

Step 1: Write down the given equations. 2x - y = 8 (1) 3x - y = 17 (2) Step 2: Subtract equation (1) from equation (2) to eliminate y. (3x - y) - (2x - y) = 17 - 8 3x - y - 2x + y = 9 x = 9 Step 3: Substitute the value of x into equation (1) to solve for y. 2(9) - y = 8 18 - y = 8 -y = 8 - 18 -y = -10 y = 10 The solution is x=9 and y=10. x=9, y=10