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Solve the simultaneous equation

April 16, 2026Mathematics

ScanSolve AI Answer

Answer

x=3, y=-4

4 steps

Here are the given equations:

6x - y = 22 \quad (1)

6x + 5y = -2 \quad (2)

Subtract equation (1) from equation (2) to eliminate $x$ .
$(6x + 5y) - (6x - y) = -2 - 22$ $6x + 5y - 6x + y = -24$ $6y = -24$
Solve for $y$ .
$\frac{6y}{6} = \frac{-24}{6}$ $y = -4$
Substitute the value of $y = -4$ into equation (1).
$6x - (-4) = 22$ $6x + 4 = 22$
Solve for $x$ .
$6x = 22 - 4$ $6x = 18$ $\frac{6x}{6} = \frac{18}{6}$ $x = 3$
The solution is $x=3$ and $y=-4$ .
$x=3, y=-4$

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