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Solve 5x - 2 > 3x + 11

Collect x terms together by moving them over the greater than sign to have 5x - 2 - 3x > 11 (moving terms is the same as with an equals sign, if it is positive on one side it will be negative on the other...
Answered by • Maths tutor
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ABC is a triangle with sides of length AB, 12m and BC,14m. Angle ACB = 43 degrees. Find the area of the triangle.

Use of the Sine Rule to ultimately work out the area of a triangleA/SinA = B/SinB14/Sin43 = 12/SinX14SinX = 12Sin43SinX = 12Sin43/14X=InverseSin(12Sin43/14) = 35.77-There are 180 degrees in triangle. Therefo...
EC
Answered by Eoin C. • Maths tutor
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Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into equation...
AW
Answered by Alex W. • Maths tutor
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Solve the simultaneous equations 3x+y=16, x+y=10

3x+y=16 (equation 1)x+y=10 (equation 2)Solve by elimination, notice that we have two of the same y's so as they have the same sign we subtract to get 2x=6, we rearrange to get x= 3 Sub this back into equatio...
MS
Answered by Meera S. • Maths tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4

We start off by defining what an odd number is. We take a general letter, say the letter n, to represent any number. If we multiple it by 2 we are sure no matter what number we enter as n the answer will alw...
TM
Answered by Tanmayi M. • Maths tutor
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