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Find the turning point of the line y = x^2 + 2x -1

d(x²+2x-1)/dx = 2x+2when dy/dx = 0, x = -1when x = -1, y = -2
therefore the turning point is (-1,-2)

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Solve the following simultaneous equations: 2x + y = 17, x - y = 4

2x + y = 17 x-y = 4 ---> x = 4 + y2(4+y) + y = 17 ------> 8 + 2y + y = 17 -----> 8 + 3y = 17 --------> 3y = 9 -----> y=3 x = 4+y ------> x = 7

Answered by Gavra N. • Maths tutor

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Solve the following simultaneous equation: 3x+y= 11 and 2x+y=8.

X= 3y= 2

Answered by Lara D. • Maths tutor

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Evaluate the integral (write on whiteboard, too complicated to write here)

Make sure integral is in terms of sines and cosines onlyFactor out sine of numerator and make fraction in terms of cosineSubstitution y=cos(x)Fractions decompositionAnother 2 substitutionsSolve

Answered by Gemma L. • Maths tutor

3254 Views

How do I solve an equation with both x and y variables (simultaneous equation)?

A simultaneous equation is calculated to find the pair of co-ordinates where two straight lines cross on a graph, so the question you've probably been asked is to 'solve' a pair of linear equations. This ...

Answered by Tutor127404 D. • Maths tutor

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