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Maths
GCSE

Solve the linear equation 4x+5=-6x+15

So, students should be able to solve basic linear equations as shown above. The aim in order to solve the equation would be to get all of the x values onto one side of the equation and all of the integers...

NH
Answered by Niall H. Maths tutor
4504 Views

Solve the simultaneous equations 2x + y = 18 and x - y = 6

2x + y = 6x - y = 6x = 6 + y => 2(6 + y) + y = 18 => 12 + 3y = 18 => 3y = 6 => y = 2x - (2) = 6 => x = 8x = 8, y = 2

HH
Answered by Harry H. Maths tutor
3144 Views

There are 16 hockey teams in a league. Each team played two matches against each of the other teams. Work out the total number of matches played.

16 teams. Therefore, 1 team plays (16-1)x2=30 matches in a season. Total matches played = 30+28+26+...+2+0. 16 teams so total number of matches = 16 x (30+0)/2 =240Or each team plays 30 matches. 30x16=480...

JD
Answered by James D. Maths tutor
15083 Views

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

first combine into one ratio by finding lowest common multiple between common category so houses:flats:bungalow = 14:8:5. then for every 5 bungalows to every 14 houses so 50/5 = 10 and 10 x 14 = 140. so t...

Answered by Maths tutor
4261 Views

A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.

Area of rectangle is 20 cm2. The new area of the enlarged rectangle is the original area, 20 cm2, times the area scale factor. We are only given the length scale factor, therefore, w...

PB
Answered by Paulina B. Maths tutor
3793 Views

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