Solve linear equations and 2-variable systems
Solve a linear equation with x on both sides, or a 2×2 system — each answer shows the work.
Result
2x + 3 = 1x + 7 → (2 − 1)x = 4 → x = 4 ÷ 1 = 4
How is this calculated?
Using the tool
Algebra I, two ways: solve a linear equation with x on both sides, or a 2×2 system. Tap the +/− button between terms to switch the sign — no typing negatives. Each answer shows the work.
The math
A linear equation with x on both sides is solved by gathering the x terms on one side and the constants on the other: (a − c)x = (the constants), so x = that ÷ (a − c). A 2×2 systemuses the determinant det = a₁b₂ − a₂b₁; when it isn't zero, x and y each come from a ratio of determinants (Cramer's rule). A zero determinant means the lines are parallel or identical, so there's no single solution.
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