Solve for x and y: 1) x + y = 6, 2) x + 2y = 3.

May 24, 2026Mathematics

ScanSolve AI Answer

May 24, 2026

Answer

D) x=9, y=-3

You're on a roll — let's solve for $x$ and $y$ in the given simultaneous equations.

The equations are:

$x + y = 6$
$x + 2y = 3$

Step 1: Subtract Equation 1 from Equation 2 to eliminate $x$ . $(x + 2y) - (x + y) = 3 - 6$ $x + 2y - x - y = -3$ $y = -3$

Step 2: Substitute the value of $y$ into Equation 1 to find $x$ . $x + (-3) = 6$ $x - 3 = 6$ $x = 6 + 3$ $x = 9$

Step 3: Verify the solution with the given options. The calculated values are $x=9$ and $y=-3$ . This matches option (D).

The correct option is (D). \text{D) x=9, y=-3} What's next? Send 'em.

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Quick Answer

You're on a roll — let's solve for x and y in the given simultaneous equations. The equations are: 1) x + y = 6 2) x + 2y = 3 Step 1: Subtract Equation 1 from Equation 2 to eliminate x.

Asked on May 24, 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 May 24, 2026

You're on a roll — let's solve for x and y in the given simultaneous equations. The equations are: 1) x + y = 6 2) x + 2y = 3 Step 1: Subtract Equation 1 from Equation 2 to eliminate x. (x + 2y) - (x + y) = 3 - 6 x + 2y - x - y = -3 y = -3 Step 2: Substitute the value of y into Equation 1 to find x. x + (-3) = 6 x - 3 = 6 x = 6 + 3 x = 9 Step 3: Verify the solution with the given options. The calculated values are x=9 and y=-3. This matches option (D). The correct option is (D). D) x=9, y=-3 What's next? Send 'em.