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Solve 5x + 3 = 45

5x + 3 = 455x + 3 - 3 = 45 - 3 (subtract 3 from both sides)5x = 42(5x)/5 = 42/ 5 (divide both sides by 5)x = 8.4 (can either be expressed as a decimal or as fraction)

Answered by Caroline A. • Maths tutor

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Three identical isosceles triangles are joined together to make a trapezium. Each triangle has base b cm and height h cm. Work out an expression, in terms of b and h for the area of the trapezium.

Formula for the Area of a triangle: A = (base x height)/ 2
Here we have three identical triangles.
Therefore the formula for the Area of the three triangles: A = (b x h) x 3 / 2 = A of trapeziu...

Answered by Megan C. • Maths tutor

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Solve this set of linear equation to find x and y: 1. 8x + 2y =48 2. 7x +3y =47

Write out the two equations and label them 1 and 28x + 2y =487x+ 3y= 47The first aim is to get one variable (ie x or y) on both lines to equal each other. The easiest way to do this (keeping the numbers m...

Answered by Rachel T. • Maths tutor

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Solve the simultaneous equations: 1) 3x+5y=14 and 2) -3y+10=x

Multiple the second equation through by 3 so that the x is multiplied by the same number in both equations. -> -9y + 30 = 3x
2) Rearrange the equation so that the
Answered by Gabrielle S. • Maths tutor
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equation(1) h = 3t^2 a) find h when t=5 b)find t when h=108

for part AYou would but the t² into brackets , then substitute t=5 to get h=3(5²) using BIDMAS do the 5² = 25 so that h=3(25) so you end up with h=75
for part B fir...

Answered by Danielle N. • Maths tutor

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