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Maths
GCSE

Solve the simultaneous equations: 3x + y = 19 and x - 2y = -3

First rearrange x - 2y = -3 by adding 2y to each side to give x = -3 + 2ySubstitute this into the first eq. to give 3(-3 +2y) + y = 19Expand brackets first: -9 + 6y + y = 19Rearrange and simplify by colle...

JM
Answered by Jessica M. Maths tutor
4725 Views

Solve the following simultaneous equations 7x - 6y =38 and 3x + 9y =-3

To solve these equations you first want to eliminate the same variable from each equation. In this question it is easiest to eliminate Y, to do this we will times equation 1 by 3 to get 21X-18Y=114 and eq...

IR
Answered by Isabelle R. Maths tutor
3056 Views

Write 16*8^2x as a power of 2 in terms of x.

Change 16 as a power of 2 to get 24. Change 82x as a power of 2 gives (23)2x. You can times the two powers together giving 26x.So 16*82x=2...

NA
Answered by Nabeel A. Maths tutor
12694 Views

Draw a graph and clearly label any x and y intercepts for the equation y=x^2+6x+9

Step 1: Factorise the equation either directly or by using the quadratic formulae {[-b(+/-)sqrt(b^2-4ac)]/2a}. This equation can be factorised directly since 3*3=9 (for the last term on the RHS) and 3+3=6...

EY
Answered by Emad Y. Maths tutor
3194 Views

I struggle with simultaneous equations, when you have a quadratic involved

Example solve the following, equation 1: x2+2y=9 equation 2: y=x+3In this example we have to use substitution, therefore we sub in equation 2 into 1 to get the following x2+2(x+3)=9 ...

BF
Answered by Benjamin F. Maths tutor
2540 Views

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