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Find x and y when 3x + 4y = 27 and x + 2y = 11

Use the elimination method to remove a common coefficient. Multiply one of the equations to find a common coefficient, eg multiply the second equation by 2 to get 2x + 4y = 22, to reach the common coefficien...
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Answered by Eleanor S. • Maths tutor
7003 Views

Find x when 2x^2 −x−6=0

The equation is: 2x^2 - x -6 =0 step 1. (2x) and (x) now you need to separate out this equation into two further brackets. You start with the highest power of X, in this case 2X^2. As 2 has no smaller factor...
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Answered by Talia P. • Maths tutor
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How do I find the solution of the simultaneous equations x+3y=7 and 5x+2y=8

By looking at both equations you spot that the 'x' in the first equation has coefficient equal to 1, so it would be quite convenient to make 'x' the subject of the first equation and then substitute what 'x'...
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Answered by Nicola B. • Maths tutor
5755 Views

The line AB has equation 3x +5y = 7 . Find the gradient of AB.

Firstly, you should change the equation into the form y=mx+c where m is the gradient and c is the y-intercept. This can be done by subtracting 3x from each side of the equation to give 5y=-3x+7. Then dividin...
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Answered by Conal G. • Maths tutor
8420 Views

Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.

the curve crosses the graph at the x axis at 0.5,3 and -4 so f(0.5)=0, f(3)=0,f(-4)=0. All linear factors are the form of g(x)=(x-a) so 0=g(0.5)=0.5-a. rearranging we get that a=0.5 ie g(x)=x-0.5 similarly t...
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Answered by Kishan T. • Maths tutor
7150 Views