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Find the values of x and y using the simultaneous equations: x+y=11, y-6=15

First solve the equation with only one unknown to find y:y-6=15Add 6 to both sides to get the value of y:y=15+6y=21Now there is only one unknown we can solve for x:x+21=11x=11-21x=-10Check the values are cor...
JF
Answered by Jack F. • Maths tutor
3721 Views

Simplify fully (3x^2-8x-3)/(2x^2-6x)

While this can appear intimidating at first, the key to simplifying this expression is through factorising and identifying common factors. Let's start off by factorising the denominator as this is simpler. H...
RP
Answered by Rishi P. • Maths tutor
3072 Views

If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.

f(x) can be rearranged to be: f(x) = 1/6 x -2 This is then differentiated to be: f'(x) = -1/3 x -3 as the expression is multiplied by the original power (-2) and then the power is reduced by 1 (to -3) f'(x) ...
TR
Answered by Thomas R. • Maths tutor
1490 Views

Simplify : 4(x+5) / x^2+2x-15

Firstly, remember to factorise! x^2+2x-15 = (x+5)(x-3) ∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as : 4/(x-3)
SP
Answered by Sohum P. • Maths tutor
6194 Views

Work out: 0.7 + 3/5

Show 3/5 as a decimal: 0.6 0.7 + 0.6 = 1.3 OR Show 0.7 as a fraction: 7/10 Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and 3/10
EB
Answered by Edward B. • Maths tutor
4842 Views