Problem

Bookwork code: L91 悭 not allowed
Look at the simultaneous equations below.
(1) $x-2 y=15$
(2) $x-3=4 y$
a) Rearrange equation (2) to make $x$ the subject.
b) Using your answer to part a), solve the simultaneous equations using substitution.
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Answer

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Answer

\(\boxed{x = 27, y = 6}\)

Steps

Step 1 :Rearrange equation (2) to make x the subject: \(x = 4y + 3\)

Step 2 :Substitute the rearranged equation into equation (1): \((4y + 3) - 2y = 15\)

Step 3 :Solve for y: \(2y = 12\) so \(y = 6\)

Step 4 :Substitute the value of y back into the rearranged equation to find the value of x: \(x = 4(6) + 3\)

Step 5 :\(x = 27\)

Step 6 :\(\boxed{x = 27, y = 6}\)

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