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Solve the simultaneous equations 4x + 7y = 1 and 3x +10y = 15.

There are two main ways of solving this equation, substitution and elimination, here we go through the susbtitution method. This involves rearranging one of the equations to get one of the variables in terms...
LC
Answered by Luke C. • Maths tutor
17443 Views

Simplify (3x^2 - 15x)/(3x^2 - 13x -10)

Begin by considering the numerator and denominator separately, simplify both: 1) 3x^2 - 15x Here, a common factor of 3x can be removed to give 3x(x^2 -5). 2) 3x^2 - 13x -10 This involves using two brackets e...
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Answered by Gabriella O. • Maths tutor
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Calculate the value of 2^(–3) as a fraction in its simplest form.

To calculate the value of 2 -3 first we know that a negative exponent is equivalent to the inverse of the same number with a positive exponent. Therefore 2 -3 = 1/2 3 , the next step is to calculate 2 3 , 2 ...
JS
Answered by Joseff S. • Maths tutor
247533 Views

Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.

To calculate the largest share, first we need to find out how much each part that makes up a share is worth. To find out how much the smallest part is (i.e 1 part), we divide the value £400 by the sum of the...
JS
Answered by Joseff S. • Maths tutor
26180 Views

How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

One method of solving these is by elimination . We can try to subtract a multiple of one equation from the other to cancel the x's (or y's). 5x - 3y = -1 (A) 3x + y = 5 (B) In this case, we can add 3*(equati...
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Answered by Alex K. • Maths tutor
13606 Views