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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.

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14.20...
EP
Answered by Emily P. • Maths tutor
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how do you work out the gradient and point of interception of a linear graph given some coordinates

plot the coordinates to obtain a straight line graphcalculate the gradient by using the equation m=change in y/change in xfind the point of interception by seeing where the line crosses the y axis, where x=0
KP
Answered by Katrina P. • Maths tutor
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How do I solve simultaneous equations?

The elimination method 2x + 3y = 83x + 2y = 7 First we multiply one or both of the equations so that one of their like terms share the same coefficients. 2x + 3y = 8 (multiply by 3) -> 6x + 9y = 243x + 2y...
JG
Answered by Joe G. • Maths tutor
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Solve 7(x-5)=25-3x

Firstly, expand the left hand side of the equation out to produce: [7x-35=25-3x]. Bring all the x's to one side (to form 10x=60). Divide both sides by 10 to find the solution for x [x=60/10]. Therefore, x=6
JJ
Answered by Jenni J. • Maths tutor
4823 Views

Factorise (x^2-100) and then solve for x.

When looking at factorising quadratic equations, the first approach should be to identify what is in front of the x term and the value of the c term, with the equation being in the form of y=A(x^2)+Bx+c.So t...
SA
Answered by Syed A. • Maths tutor
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