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

May 24, 2026Mathematics

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Answer

3 steps

let's solve for $x$ and $y$ in the given simultaneous equations.

The equations are:

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

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