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The equation of the line L1 is: y = 5x-4. The equation for line L2 is 2y-10x+16 = 0. Show that these two lines are parallel.

L1: y=5x-4L2: 2y-10x+16=0. Rearranged: 2y=10x-16, y=5x-8 The coefficient of x is the same in both equations when expressed in standard format (5), therefore the lines are parallel. Here is how I would talk a...
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Answered by Alfie W. • Maths tutor
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Solve x^2+4x-5=0

Two approaches.1.Note that the equation is a quadratic equation, and can thus be solved per the quadratic formula, in which the solutions are given to be (-b+-sqrt(b^2-4ac))/2a.Plugging in the values from th...
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Answered by Samuel H. • Maths tutor
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Solve the equation: x^2 +8x + 12 = 0

This is a classic GCSE-style equation :) 1) Always write out the original equation for clarity (and so that you don't have to look back at the question constantly) :)x^2 + 8x + 12 = 02) Notice that this is q...
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Answered by Obaid U. • Maths tutor
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Solve the simultaneous equations E.g. 2x + y = 18 and x − y = 6.

Simultaneous equations can be solved in many ways. The two main ways are "solving for x and y" and the other is "substituting for x and y". Because in this example we are given "line...
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Answered by Adil F. • Maths tutor
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Solve the following quadratic: x^2 -5x +6=0

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0 Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make one of the...
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Answered by Rhiannon H. • Maths tutor
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