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Solve the following system of linear equations: 3x − y = 6 and x − y = 4.

May 13, 2026Mathematics

ScanSolve AI Answer

Answer

x=1, y=-3

5 steps

Here are the steps to solve the system of equations:

Write down the given equations.
$3x - y = 6 \quad (1)$ $x - y = 4 \quad (2)$
Subtract equation (2) from equation (1) to eliminate $y$ .
$(3x - y) - (x - y) = 6 - 4$ $3x - y - x + y = 2$ $2x = 2$
Solve for $x$ .
$\frac{2x}{2} = \frac{2}{2}$ $x = 1$
Substitute the value of $x$ into equation (2) to find $y$ .
$1 - y = 4$ $-y = 4 - 1$ $-y = 3$ $y = -3$
State the final solution.
The solution to the system of equations is:
$x = 1, y = -3$

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