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Rearrange (2): x=(-7y-4)/9Substitute the value of x from (2) into (1): 3y=7+5*(-7y-4)/9 Simplify and rearrange for y: y+(35y/27)=(7/3) -(20/27)Resolve for y: y=43/62Substitute y into (1): (3*63)/62=7+5xRe...

Expand the brackets to find x²-x-12=0Factorise the equation to find (x-4)(x+3)=0Check it expands to equal x²-x-12=0Find the value of x as:x+4=0 therefore X=4x-3=0 therefore X=-3

Factorising means reducing an equation to a set of brackets, in the form (x+a)(x+b), where a and b are constants. To factorise this equation, we must find two numbers that add to make -6, and multiply to ...

When looking at this equation, we need to think of two numbers that multiply together to give 12 and have a difference of one. We can rewrite the equation as the following: (x-4)(x+3) = 0 Solving for x:Th...

3(x+1) - 2(x-1) = 1(x-1)(x+1)3x + 3 - 2x + 2 = x² - 1x² - x - 6 = 0(x - 3)(x + 2) = 0x = 3 x = -2