Simultaneous Equations (HSC SSCE Mathematics Standard): Flashcards

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Simultaneous Equations
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Simultaneous equations definition

Pair of equations solved together for values satisfying both

Point of intersection meaning

xx and yy values that work in both equations simultaneously

Gradient-intercept form equation

y=mx+cy = mx + c

What mm represents in y=mx+cy = mx + c

Gradient (coefficient of xx, controls slope)

What cc represents in y=mx+cy = mx + c

Y-intercept (where line crosses y-axis)

What to find in table of values method

Same xx and yy values appearing in both tables

Break-even point

Where business changes from loss to profit (income = costs)

When two lines don't intersect

When they are parallel (same direction, never meeting)

Steps in graphical method (simultaneous eqns)

Draw plane, graph both lines, find intersection, interpret

Intersection in simultaneous equation models

Has important practical meaning as solution to the problem

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