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Solve algebraically: 6x + y = 16, 5x - 2y = 19

The first step to eliminate one of the unknowns, in this case x or y . This can be done by making the coefficient (the number before) of one of the unkowns the same number, or the negative of the same number...
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Answered by Caitlin R. • Maths tutor
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Factorize x³-x

x³-x=x(x²-1)=x(x+1)(x-1)
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Answered by Jia Qin L. • Maths tutor
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Can you solve these simultaneous equations and find the values of x and y? Equation 1: 2x + y = 14 Equation 2: 4x - y = 10.

Equation 1: 2x + y = 14 Equation 2: 4x - y = 10 Add the two equations together to get 6x = 24. Therefore x = 4. Then substitute the value x = 4 into equation 1 and solve. 2(4) + y = 14 8 + y = 14 y = 6 There...
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Answered by Hannah G. • Maths tutor
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Do two random lines, y=ax + b and y=cx + d, intersect? How do we work this out and if they do, where do they intersect?

Let us use Line 1 and Line 2 as an example. Line 1: y = 2x + 3 Line 2: y = -0.5x + 7 Step 1 - Try and plot the two functions on a x, y coordinate axes. Remember y = mx + c. Using Line1, we are given the y in...
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Answered by Ivan J. • Maths tutor
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Two dice are thrown at the same time. What is the probability that the sum of the numbers on the dice is greater than 7?

The answer would be 5/12. This is because a sum greater than 7 appears 15 times out of a given sample space of 36. Hence the probability would be 15/36 = 5/12
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