Simultaneous Equations (VCE SSCE Mathematical Methods): Quizzes

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Simultaneous Equations
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What does a linear equation with two unknowns represent when graphed?

A straight line

What does the intersection point of two lines represent?

Pair (x,y)(x, y) satisfying both equations

What is the first step in the substitution method?

Rearrange one eq to make a variable subject

In elimination, what must you do before adding/subtracting equations?

Make coefficients of one variable equal

When do two linear equations have no solutions?

Lines are parallel

When do simultaneous equations have infinitely many solutions?

One eq is a multiple of the other

When do two linear equations have a unique solution?

Lines have different gradients

If x+y=5x + y = 5 and xy=1x - y = 1, adding the equations gives what?

2x=62x = 6

What is the key first step in solving word problems with simultaneous equations?

Carefully define your variables

Which method for solving simultaneous equations is more accurate?

Algebraic methods

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