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Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30

Here we have a pair of simultaneous equations with two unknowns. There are two methods of going about this question: substitution or elimination. Today, we shall be focusing on the latter. We need a pair...

YR
Answered by Yashna R. Maths tutor
12548 Views

Factorise x^2+7x+10 to find the roots of the equatino x^2+7x+10=0

When we are asked to solve a quadratic, we can use the formula, but we are here specifically asked to use factorisation.

First of all, we need to know the format of factorisation: usually, it's (x+...

FH
Answered by Felix H. Maths tutor
6674 Views

Find dy/dx when y = 2ln(2e-x)

Answering this question requires knowledge of e and ln. If we look at the question we can see 2 is being multiplied by the ln, so we might want to use the product rule. Also, we can see that the ln has a ...

JL
Answered by Jay L. Maths tutor
9390 Views

Expand and simplify (x+12)(x-3)

In order to solve this question, I am going to use the FOIL (first, outer, inner, last) method of expanding brackets. First we need to multiply the two first elements in each bracket together - in this ca...

JL
Answered by Jay L. Maths tutor
11828 Views

Show that AB is not parallel to CD.

Question has two figures: a trapezium with angles 60, 2x, 3x,x and two lines AB and CD with a line across them forming conjugate angle sets with the two labelled angles 120 and x not part of the same pair...

EP
Answered by Elizabeth P. Maths tutor
13714 Views

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