1 of 8 0-day streak

Solve simultaneous equations by elimination

Question 1 of 8

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The letters in the displayed equations are unknown values. Find both values using the elimination method

-2w + 2z = -4

2w + 3z = -31

The equations are numbered in the order shown

(a)1 mark

Which displayed combination cancels one variable? Eliminate \(w\) first

\begin{aligned}&(-2w + 2z)\\&+(2w + 3z)\\&=-[(-4)+(-31)]\end{aligned}

\begin{aligned}&(-6w + 6z)\\&-(4w + 6z)\\&=(-12)-(-62)\end{aligned}

\begin{aligned}&(-2w + 2z)\\&-(2w + 3z)\\&=(-4)-(-31)\end{aligned}

\begin{aligned}&(-2w + 2z)\\&+(2w + 3z)\\&=(-4)+(-31)\end{aligned}

(b)1 mark

What is the value of \(w\)? Give the exact value

\(w\)

Format: exact value

What is the value of \(z\)? Give the exact value

\(z\)

Format: exact value