exam Maths Puzzle Numerical Ability

Can someone show me how to write the mapping rule that shows the transformation of y=2^x for the equation 1/4(y-5)=2^(x-3)?

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exam Other Question

Solve the following equation:
4ax + by = 11ab
8ax - 5by = ab The length of a rectangle is 4 cm less that three times its width. If the length is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the orifinal rectangle.