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Find values for x and y from two simultaneous equations: 2x + y = 5 and 3x + y = 7

Rearrange one of the equations to make y the subject:y = 5 - 2x Substitute y into the other equation: 3x + 5 - 2x = 7 x = 2 y = 5 - (2 x 2) y = 1
MV
Answered by Marco V. Maths tutor
4033 Views

Find the intergal of 2x^5 -1/(4x^3) -5 giving each term in its simplest form.

When integrating, we raise the power by 1 and divide by the new powerSo, 2x 5 becomes 2x 6 /6 which simplified down as the question asks is x^6/3-1/(4x 3 ) is -(1/4)x^ -3 using indices laws, raising the powe...
EW
Answered by Emily W. Maths tutor
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Barney has 12 items of fruit. Four of these are apples. If Lucy takes one of Barney's items of fruit at random what is the probability it will be an apple? What is the probability it will not be an apple?

12 items of fruit. 4/12 are apples - can 4/12 be simplified? Yes both can be divided by 4 and so the fraction becomes = 1/3 for the probability of taking an apple. The probability of NOT taking an apple is 1...
JB
Answered by James B. Maths tutor
2967 Views

Solve the equation: 3x - 5.5 = 1/2

To make the equation easier, multiply it all by 2 : 6x-11 = 1 And solve: 6x = 12x = 2
JB
Answered by James B. Maths tutor
1942 Views

Expand and simplify (3X+9)(X-6)=0

When expanding brackets, we need to make sure each of the terms in the first bracket are multiplied by all the terms in the second bracket (and vice versa). To make sure nothing is missed, we can used the FO...
WA
Answered by Wonu A. Maths tutor
4355 Views