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Maths
GCSE

Solve the following simultaneous equations: 3x + 5y = 19 and 8x - 2y = -18. If both equations represent lines in a coordinate system, at which point do they intersect?

I. 3x + 5y = 19 II. 8x - 2y = -18 . We see that we can simplify the second equation, and we do so: II. x - y = -9. Now, we check to see which variable i...

NA
Answered by Ninett A. Maths tutor
3154 Views

You are told that a straight line runs through 2 points: (1,1) and (2,3). What is the equation of the line?

Recall that all straight lines have the general equation y = mx + c, where m is the gradient of the line and c is the y intercept. First work out the gradient, m, of the line: Gradient = rise/run = (chang...

JP
Answered by James P. Maths tutor
2626 Views

I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?

This is a compound interest problem. Here we have to put 18 months in terms of years. There are 12 months in a year, so 18 months is a year and 6 months.
6 months is half a year, so 18 months repres...

LM
Answered by Lauren M. Maths tutor
3028 Views

In triangle XYZ: XZ = 10 cm; YZ = 8 cm; cos Z = 1/8. Calculate the length of XY.

We can use the cosine rule to determine the lenght of XY.
XY2 = 102+82-2108cos ZXY2 = 100+64-180(1/8) = 144XY = 12

VH
Answered by Vencel H. Maths tutor
6232 Views

Factorise this equation and then solve for x) 2x^2 - 3x-2

Do 2x -2 = -4List these factors Choose two of those factors which equal to -3x, in this case 1 and -4 (or the other way around)Rewrite the equation as 2x2 + x - 4x -2, then factorise this in tw...

EC
Answered by Ellen C. Maths tutor
5015 Views

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