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Simplify: 2x + 6y + 2y - x

Step 1) Rearrange the equation as follows: (2x - x) + (6y + 2y) this makes it easier to see which values you can add together.Step 2) Solve the calculation in each bracket: x + 8y. Successfully simplifying t...
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Answered by Benjamin L. • Maths tutor
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Factorise x^2 + 8x + 12 (2017 non-calculator paper)

This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression through ...
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Answered by Ella M. • Maths tutor
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Solve the simultaneous equations x + y = 3 and x^2 + y^2 = 5

Find an expression for y y = 3 - x sub this into the second equation x^2 + (3 - x)^2 = 5 then expand the brackets x^2 + x^2 - 6x + 9 = 5 simplify 2(x^2 - 3x + 2) = 0 factorise 2(x - 2)(x - 1) = 0 so x = 2, 1...
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Answered by Kate W. • Maths tutor
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y = 2x^3 + 15x^2 + 24x + 10 Find the stationary points on this curve and determine their nature

First differentiate the function to obtain dy/dx = 6x^2 + 30x + 24 Then set this equal to 0 and solve to find the x values of the stationary points 6x^2 + 30x + 24 = 0 6(x^2 + 5x + 4) = 0 6(x +1)(x+4) = 0 th...
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Answered by Kate W. • Maths tutor
10620 Views

In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

£29.40 represents 4/5 of xThus to find x, we must multiply 29.40 by 5/4: 29.40/4 = 7.35 (this is 1/5) 7.35 x 5 = 36.75 (this is 5/5, the original price) Original price = £36.75
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Answered by Robert W. • Maths tutor
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