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Lets number the equations: 1) 3x + 2y = 17 2) 4x - y = 30If we double equation 2) we will get matching y coefficients so:8x - 2y = 60 if we rearrange this to be 8x-60 = 2y Then if we put these together: 3...

The first aim is to obtain an expression for one of the unknowns in terms of the other. To achieve this, addition and subtraction methods are used. For example, using equation 1, subtracting 2y from both ...

(x+6)^{^2}-36+4=0(x+6)^{^2}-32=0(x+6)^{^2}=32(x+6)=±√32x=-6±√32

In order to simplify the equation, like terms need to be collected.Square terms (x²) can’t be collected with not square terms (x).
x² terms = 1x² + 4x² = 5...

First, let's start by labelling the equations. We can call x²+2y=9 equation 1 and y=x+3 equation 2. Rearrange equation 2 to give us x = y-3. We can then substitute this back into equation 1. So...