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Solve the simultaneous equations.

x= 9/2y= -3/2

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expand out the bracket (2m - 3)(m + 1).

claw technique: multiply each 'thing' in the first bracket with each 'thing' in the second bracket.2m² + 2m - 3m -3then collect the like terms2m² -1 -3

Answered by Abigail P. • Maths tutor

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Liv and Laura win a lottery of £350,000 and decide to split their winnings according to the ratio 3:4. Work out how much each person receives.

the total number of parts of the ratio is 3+4 = 7. liv will therefore receive 3/7 parts of the total amount, so liv will get 3/7 x 350000 = 150,000Laura will receive 4/7 parts of the total amount, so laur...

Answered by Abigail P. • Maths tutor

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A triangle has sides of length 8 cm, 10 cm and 14 cm. Work out the size of the largest angle of the triangle. Give your answer correct to 1 decimal place.

Utilising the cosine rule: c² = a² + b² - 2abcosC, substitute in the given lengths. We therefore get that 14² = 10² + 8² − 2 × 10 × 8 × cosA . Expanding this expression we then get that 196 = 164 - 160cos...

Answered by Josephine K. • Maths tutor

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3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

Make x= Tea and y= CoffeeTherefore 3x + 2y = 7.80 (1) and 5x + 4y = 14.20. (2)Want either x or y to be equal for both equations- therefore make (1) 6x + 4y = 15.60 (3)“Same signs subtract” so do (3) - (2)...

Answered by Adaeze C. • Maths tutor

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