Linear Literal Equations and Simultaneous Linear Literal Equations (VCE SSCE Mathematical Methods): Quizzes

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Linear Literal Equations and Simultaneous Linear Literal Equations
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What makes a literal equation different from a numerical equation?

Solutions contain pronumerals not numbers

For ax+b=cax + b = c, what form does the solution for xx take?

x=cbax = \frac{c - b}{a}

How do we solve literal equations?

Same algebraic techniques as numerical

Solve pxq=rpx - q = r for xx.

x=r+qpx = \frac{r + q}{p}

What should you do first when solving literal equations with fractions?

Multiply by lowest common denominator

What two methods solve simultaneous literal equations?

Substitution and elimination

For y=ax+cy = ax + c and y=bx+dy = bx + d, what is xx?

x=dcabx = \frac{d - c}{a - b}

When is elimination easiest for simultaneous equations?

When a variable has coefficient of 1

Why factorise when multiple terms contain the variable?

Allows isolation and solving for variable

For axy=cax - y = c and x+by=dx + by = d, what is xx using elimination?

x=bc+dab+1x = \frac{bc + d}{ab + 1}

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