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Expand and simplify (x+1)(2x+3).

We first expand the first set of brackets by multiplying each element of it by the second set of brackets so (x + 1)(2x + 3) = (x)(2x + 3) + (1)(2x + 3) = x(2x + 3) + (2x + 3). We can then expand out the fir...
ML
Answered by Matthew L. • Maths tutor
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Solve the following simulatenous equation to find the values of both x and y: 5x+2y=16 and 3x-y=14

x=4, y=-2
JD
Answered by JESSICA D. • Maths tutor
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Solve the simultaneous equations for x and y: 9x-2y=7 4x-2y=2

Using the elimination technique:As we have -2y in both equations we can take the equations away from each other in order to eliminate -2y and create a new linear equation involving only x. this equation woul...
MP
Answered by Mira P. • 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 individual cost of one tea and one coffee.

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equa...
CF
Answered by Charlotte F. • Maths tutor
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Find the value of 'x' and state which angle on triangle ABC is smallest. A = right angle, B = 2x + 30, C = 2x

Where the angles of a triangle A+B+C = 180 degrees, then if follows that (where A = 90, B = 2x + 30, C = 2x):180 = 90 + 2x + 30 + 2x180 = 120 + 4x60 = 4x15 = xTherefore, it follows that A = 90, B = 60, C = 1...
MG
Answered by Muhammad G. • Maths tutor
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