Answer:
cost of 1 muffin is £1 , cost of cake is £3
Explanation:
setting up the simultaneous equations
2x + y = 5 → (1)
5x + y = 8 → (2)
subtract (1) from (2) term by term to eliminate y
(5x - 2x) + (y - y) = 8 - 5
3x + 0 = 3
3x = 3 ( divide both sides by 3 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (1)
2(1) + y = 5
2 + y = 5 ( subtract 2 from both sides )
y = 3
the cost of a muffin is £1 and the cost of a cake is £3