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First multiply out the right hand side to get5x + 10 = 10x^2 + 20xThen rearrange so everything equals zero, forming a quadratic equation10x^2 + 15x - 10 = 0 To make things easier, you can simplify the equ...

1. Label first equation as equation 1 and the second as equation 22) Make y the subject of the equation from equation (1); hence: eq 1 : y = -4 -3x3) Substitute the new equation into equation (2) : 3x-...

y = x + 3x² + 2y = 9We want to make the squared equation have either only x's or only y's, so we substitute y = x + 3 into the equation:x² + 2(x + 3) = 9We need to take out the brack...

When solving inequalities, you should treat them like solving any regular equation that you are used to (ie. whatever operation you perform on the left hand side, you must perform on the right hand side a...

This is a quadratic equation in the form ax²+bx+c. As the three terms don't have a common factor we cannot factorise this into one bracket, instead we will factorise it into two. In order to do...