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Maths
GCSE

y is inversely proportional to x. y = 0.04 when x = 80. Find the value of y when x = 32.

If y is inversely proportional to x. We know that y=k/x for some constant k. We need to find this constant before continuing. Looking at the information given to us in the question we know for one example...

Answered by Tyler T. Maths tutor
5708 Views

solve the simultaneous equations 8x + 2y = 48 , 14x + 6y = 94

Step 1) Rearrange the first equation to make y the subject: 8x + 2y = 48 , 2y = 48 - 8x , y = 24 - 4x. step 2) Sub y = 23 - 4x into the second equation: 14x + 6(24 -4x) = 94 , 14x + 144 - 24x = 94 Step 3)...

Answered by Harrison S. Maths tutor
2400 Views

Solve algebraically the simultaneous equations 2x+y=5 and 3x+y=7, for x and y.

Assign 2x+y=5 to be 'Equation 1,' and 3x+y=7 to be 'Equation 2.'The steps to solving for x and y are: 1.get rid of one variable (being either x or y) 2.solve for the other variable 3.substitute the now kn...

Answered by Natalie K. Maths tutor
3533 Views

A is the point with coordinates (5, 9) B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.

gradient is calculated using the change in y coordinates divided by change in x coordinates. so, (15-9)/(d-5)=3 => 6/(d-5)= 3rearrange this equation to get d on one side (6/3)+5 = d therefore d= 7

Answered by Eve C. Maths tutor
3296 Views

Functions question: f(x) = 3x + 2a; g(x) = ax + 6; fg(x) = 12x + b. a and b are constants; Work out the value of b

So this is a functions question which is essentially asking you to combine the first two functions and then equate them with the last one.
fg(x) can be considered as replacing the x in f(x) with g(x)...

Answered by Ritik P. Maths tutor
2854 Views

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