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1 of 8 0-day streak

Lesson Practice

Solve literal equations and simultaneous literal equations

DIFFICULTYintro standard challenge exam

Question 1 of 8

No calculator

Consider the equation

-p\, q\left(R + 2s - 3t\right) = -2v

Assume \(p\ne0,\quad q\ne0\)

(a)1 mark

Rearrange the equation to express R in terms of the parameters

R = \frac{-2v}{-p\, q}

R = \frac{2p\, q\, s - 3p\, q\, t - 2v}{p\, q}

R = \frac{-3p\, q\, t + 2q\, s - 2v}{-p\, q}

R = \frac{2p\, q\, s - 3p\, q\, t - 2v}{-p\, q}

(b)2 marks

Fill the two labelled coefficients in the solved form

R = \frac{?p\, q\, s - 3p\, q\, t - 2v}{?p\, q}

Coefficient of p q s in the numerator of R Coefficient of p q in the denominator of R