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Linear equations in two variables

Equations and inequalities · Mathematics

Study notes

Q: Find 3 solutions of 2x + 3y = 12 and write in slope-intercept form. Step 1: Solve for y: 3y = 12 - 2x, so y = 4 - (2/3)x. Step 2: Pick x values: x = 0 gives y = 4; x = 3 gives y = 2; x = 6 gives y = 0. Step 3: Solutions: (0, 4), (3, 2), (6, 0). All lie on one straight line.

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