\( \text{Substitute the values into the formula and simplify step-by-step.} \)
Question 12:
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(a) (i)
\begin{aligned} &\text{Work out the value of } A \text{ when } x=4 \text{ and } y=3. \\[4cm] \end{aligned}
(2 marks)
(a) (ii)
\begin{aligned} &\text{Work out the value of } x \text{ when } A=26 \text{ and } y=2. \\[4cm] \end{aligned}
(2 marks)
(b)
\begin{aligned} &\text{Work out the value of } B \text{ when } t=-1. \\[4cm] \end{aligned}
(2 marks)
(a) (i) Answer:
\( 22 \)
Explanation:
\begin{aligned} &\text{We are given } A = 4x + 2y. \\ &\text{Substitute } x=4 \text{ and } y=3: \\ A &= 4(4) + 2(3) \\ &= 16 + 6 \\ &= 22 \end{aligned}
(a) (ii) Answer:
\( 5.5 \)
Explanation:
\begin{aligned} &\text{We are given } A = 4x + 2y,\; A=26,\; y=2. \\ &\text{Substitute into } A=4x+2y: \\ 26 &= 4x + 2(2) \\ 26 &= 4x + 4 \\ 4x &= 22 \\ x &= 5.5 \end{aligned}
(b) Answer:
\( 5 \)
Explanation:
\begin{aligned} &\text{We are given } B = 2t + 7,\; t=-1. \\ &\text{Substitute:} \\ B &= 2(-1) + 7 \\ &= -2 + 7 \\ &= 5 \end{aligned}
