Simultaneous Equations (HSC SSCE Mathematics Advanced): Quizzes

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Simultaneous Equations
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What does the solution to simultaneous equations represent on a coordinate plane?

The point of intersection

When do two lines have no solution?

Same gradient, different intercepts

When does a system have infinitely many solutions?

Lines are identical

What makes a solution non-viable in real-world contexts?

It doesn't make practical sense

How do you find the x-intercept of an equation?

Substitute y=0y = 0 and solve for xx

How do you find the y-intercept of an equation?

Substitute x=0x = 0 and solve for yy

When is the substitution method most efficient?

When a variable has coefficient 1 or -1

What is the break-even point in business?

Where revenue equals cost

What is the profit at the break-even point?

0

If two lines have different gradients, how many solutions does the system have?

One solution

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