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Solve the following pair of simultaneous equations: 1. 3x + 2y = 9 2. 6x + 5y = 21

We can solve this pair of simultaneous equations using substitution. To do this, we firstly have to rearrange one equation to get one variable on its own. For example, we can subtract 2y from each side of...

Answered by Mark C. • Maths tutor

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If m=a^x, n=a^y, and a^2 =(m^y n^x)^z Show xyz=1.

If m=a^x n=a^yand a²=(m^yn^x)^z Show xyz=1.

The above question is an indices question from an AS textbook. This is questi...

Answered by Joshny J. • Maths tutor

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(8/125)^(-2/3)

Denominator of the power expression indicates the degree of the root in this case its the cubic root. Numeriator denotes the degree of power in this case squared. The negative sign means to inverse the ba...

Answered by Andrew D. • Maths tutor

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Solve (3x +1)/x + (2x-1)/3 = -3, giving x to two decimal places.

(3x+1)/x +(2x-1)/3 = (2x² + 8x + 3)/3x by cross multiplying.

So equation becomes 2x²+ 8x + 3 = -9x by multiplying both sides by 3x. Adding 9x to both sides gives 2x²

Answered by Jorge A. • Maths tutor

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The normal price of the pair of shoes is £28. In a sale the price is reduced by 35%. What is the new price of the shoes?

If you take £28, what is 10% of 28? 2.8 So what is 30% of 28? You would do 2.8 x 3... which is? 8.4 And what is 5% of 28? You would half 2.8...so 1.4 Now add together 30% of 28 and 5% of 28... this gives ...

Answered by Seyta D. • Maths tutor

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