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How do you solve a simultaneous equation by 'substitution'?

Firstly, demonstrate with an example: Solve: 3x + y = -9 and x 2 + 2x - 3 = yRearrange the first equation to get "y" by itself by moving parts of the equation to the other side e.g. y = - 9 - 3xSub...
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Answered by Sophie H. • Maths tutor
3353 Views

What is the length of the hypotenuse of this right angled triangle?

Pythagoras theorem can be used to calculate the length x of the triangle. The length of the hypotenuse is equal to the square root of a 2 + b 2 . When given length a and b, you are able to calculate this len...
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Answered by Callum A. • Maths tutor
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how do you find intersections between two graphical functions?

When two lines intersect, the point of intersection will be a finite set of coordinates which can be obtained from the equation of either line. A sketch of the the functions will help you identify how many p...
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Answered by William J. • Maths tutor
3405 Views

Solve the inequality 5x^2 + x - 3 = 1

Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as the only ...
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Answered by Grace S. • Maths tutor
3650 Views

How can I find the size of an angle in a right-angled triangle if I know the lengths of two of the sides?

We can find any angle in a right-angled (RA) triangle if we know the lengths of two of the sides, using SohCahToa. The first step is to identify which of the sides we know. There are three sides in a RA tria...
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Answered by Sarah M. • Maths tutor
4112 Views