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Factorise 12x^2 - 20x + 3

We know our answer is going to look like this: (ax + b)(cx + d).
First we can split our original equation in order to make it easy to simplify. As we know that 12 multiplied by 3 is equal to 36 we c...

Answered by Emma G. • Maths tutor

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A family go into a shop, they buy three sandwiches and two packets of crisps. It costs them £9. Another family buy five sandwiches and six packets of crisps. It costs them £19. How much does two sandwiches and five packets of crisps cost?

We will call sandwiches S and packets of crisps C. These are the 'unknowns'. From the information we can write down two equations. Equation 1: 3S + 2C = 9 and Equation 2: 5S + 6C = 19. We need two equatio...

Answered by Nicholas W. • Maths tutor

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Line A is parallel to the line 4y+12x=24. Find the equation of Line A if it passes through the point (5,40/3).

Line A and line 4y+12x+24 are parallel. This means that they have the same gradient. In y=mx+c the gradient of the line is m. We can rearrange the equation 4y+12x+24 to find m. To begin with subtract 12x...

Answered by Chloe B. • Maths tutor

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Solve the simultaneous equations 3x + 2y = -7 and x=4y+21

Substitute in the second equation into the first to eliminate x from the first equation. Solve for y which should, when solved (shown below), equal -5. Sub -5 back into either equation in the place of y t...

Answered by Jamie G. • Maths tutor

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Matt has 3 piles of coins, A , B and C. Altogether there was 72p. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?

so we know that A+B+C= 72. We also know that B=2A (1) and C=3B which means C=6A (2) and with this information we can re arrange to equation to be only have one variable. so A+2A+6A= 72 Collecting all the ...

Answered by Nazli D. • Maths tutor

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