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Solve this pair of simultaneous equations to find x and y

(1) 2x - 5y = 11(2) 3x + 2y = 7-----------------------Multiply equation (1) by 3 & Multiply equation (2) by 2 to give equal values for x:(3) 6x - 15y = 33(4) 6x + 4y = 14-----------------------Take equat...
JB
Answered by James B. • Maths tutor
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Find the equation of the straight line which passes through the point (0, 3) and is perpendicular to the straight line with equation y = 2x.

We know that a straight line has a general formula: y = mx+c, where m is the gradient of the line and c is the y-intercept; so, we are looking to find m and c. The line passes through the point (0,3) so x=0 ...
FM
Answered by Flavian M. • Maths tutor
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simplify (x-1)^2 - (x-1)

This question involves factorising then simplifying an equation. Start with the original equation:(x-1) 2 - (x-1) Take out a factor of (x-1)(x-1)(x-1-1)Simplify(x-1)(x-2)
NL
Answered by Nathan L. • Maths tutor
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How do I solve the Hannahs sweets question from the 2015 GCSE paper?

Here is a question from the 2015 edexcel GCSE paper that was considered particulary challenging. There are n sweets in a bag. 6 of the sweets are orange. The rest of the sweets are yellow. Hannah takes a ran...
MR
Answered by Miranda R. • Maths tutor
14115 Views

How do I calculate the gradient of a linear (straight) graph?

To find the gradient of a straight line we can use the change in the X and Y directions. The gradient (Slope) of a straight line is defined as : ​Grad = (Change in Y) / (Change in X) This is the basis of a v...
NA
Answered by Nathan A. • Maths tutor
7721 Views