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If y = 15 + 5(x + 2), and x = 6, what is y?

Because we're told that x = 6, we can just rewrite the original equation but replace the x with a 6. So:
y = 15 + 5(6 + 2)
6 + 2 = 8, so we can rewrite this again as:
y = 15 + 5(8)
5(8...

Answered by Alfie H. Maths tutor
1785 Views

How do I solve simultaneous equations like 2x + 5y = 50 and 3x + y = 23?

With simultaneous equations like these, you first want to get to a point where you have one equation with only one variable. To do this, you must eliminate one of the variables. In this case, if you multi...

Answered by Alfie H. Maths tutor
1707 Views

How do I solve a quadratic equation like x^2 - 2x - 35 = 0 without using a calculator?

If possible, you should try to factorise a quadratic. To do this, look a the factors of the constant, in this case -35. 35 is clearly divisible by 5, and 35 / 5 = 7, so 5 and 7 are one pair of factors. Th...

Answered by Alfie H. Maths tutor
3094 Views

How do I expand (x - 4)(2x + 3y)^2 ?

To start off, to make things clearer we can write the expression as:(x - 4)(2x + 3y)(2x + 3y)Now focus on just two of the brackets, say (2x + 3y)(2x + 3y). To expand this, we need to do the following four...

Answered by Hector M. Maths tutor
4315 Views

Calculate the length of PR. Give your answer correct to 3 significant figures (Diagram displayed on whiteboard)

In order to work out the unknown length of the triangle side PR, we first must identify which trigonometry equation to use. The digram gives us three values- 1 side and 2 angles. We know the hypotenuse (t...

Answered by Ali A. Maths tutor
11918 Views

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