Solve the simultaneous equations below: 2x + y = 5 (i), x + y = 6 (ii)

June 9, 2026Mathematics

ScanSolve AI Answer

June 9, 2026

Answer

x = -1, y = 7

Here's how to solve the simultaneous equations:

Step 1: Write down the given equations. $2x + y = 5 \quad \text{(i)}$ $x + y = 6 \quad \text{(ii)}$

Step 2: Subtract equation (ii) from equation (i) to eliminate $y$ . $(2x + y) - (x + y) = 5 - 6$ $2x - x + y - y = -1$ $x = -1$

Step 3: Substitute the value of $x$ into equation (ii) to find $y$ . $x + y = 6$ $-1 + y = 6$ $y = 6 + 1$ $y = 7$

The solution is $x = -1$ and $y = 7$ .

$\boxed{x = -1, y = 7}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

Here's how to solve the simultaneous equations: Step 1: Write down the given equations.

Asked on June 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 June 9, 2026

Here's how to solve the simultaneous equations: Step 1: Write down the given equations. 2x + y = 5 (i) x + y = 6 (ii) Step 2: Subtract equation (ii) from equation (i) to eliminate y. (2x + y) - (x + y) = 5 - 6 2x - x + y - y = -1 x = -1 Step 3: Substitute the value of x into equation (ii) to find y. x + y = 6 -1 + y = 6 y = 6 + 1 y = 7 The solution is x = -1 and y = 7. x = -1, y = 7 That's 2 down. 3 left today — send the next one.