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Solve the following simultaneous equations: y - 2x = 6 and y + 2x = 0

Firstly, label each of our equations: y - 2x = 6 (1) y + 2x = 0 (2)Then we can rearrange (2) to get the following: y = -2x (3)Then, substitute (3) into (1): -2x - 2x = 6Which yields the result: -4x = 6The...

Answered by Ciara C. • Maths tutor

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Suppose we have a circle with the equation x^2 +y^2 =25. What is the equation to the tangent to the circle at point (4,3)?

Firstly lets draw it out-Draw a line from the origin to the point. calculate the change in y over change in x =(3-0)/(4-0)=3/4Take negative reciprocal which is equal to m. Then do y-y₁=m(x-x

Answered by Nayan M. • Maths tutor

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Paul buys three pens and one pencil for £11 while Sam buys four pens and two pencil for £16 - what is the price of pens and pencils?

Read the question and translate the information into equations.'Three pens and one pencil for £11' can be written as 3x + y = 11 where x = pens and y = pencils. 'Four pens and two pencils for £16' can be ...

Answered by Isabelle S. • Maths tutor

2057 Views

How do I solve a quadratic equation?

In a quadratic equation the highest power is 2. This means that we are looking for up to 2 answers. The first thing we are going to try to do is factorise the equation. We draw two sets of brackets side b...

Answered by Leszek W. • Maths tutor

2201 Views

Simplify (m-7)(m+3)/6(m+3)

Find the highest common factor between the brackets and then divide by this:in this case it is (m+3)so working out should look like this:(m-7)(m+3)/(m+3)/6(m+3)/(m+3)this will work out as:m-7/ 6

Answered by Molly F. • Maths tutor

2361 Views