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How do you solve simultaneous equtions?

Say you had two equtions to solve simultaneously. Example 1: x + 5y = -7; 2x - 2y = 10 Multiply one of the equtions so that one of the variables has the same coefficient. In this example, I would multiple th...
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How do you solve simultaneous equations and why do you do it?

Solving simultaneous equations allows you to identify at which point on a graph two lines intersect. For example, take the straight line -x + y = 2 and parabolic curve y= x 2 Firstly, let's re-arrange the st...
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Answered by Peter H. • Maths tutor
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Sketch the line y=x^2-4x+3. Be sure to clearly show all the points where the line crosses the coordinate axis and the stationary points

From the equation we can see the the line in a positive quadratic graph. In order to find the points where the line crosses the x axis we must let y=0 and solve for x. We can then use either inspection, comp...
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Answered by Matthew S. • Maths tutor
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How do I simplify the following equation x^2+5x+6

Firstly write out the question. x^2+5x+6. After this look at the constant without any x's. In this case that number is 6. Now look at the number 6 and work out the combination of factors for 6. Do this such ...
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Answered by Henry M. • Maths tutor
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A perfect sphere of lead has radius 6 cm, and weighs 1710 grams. What is its density? Give your answer in g/cm^3. [Density = mass/volume]

To find the density, we need to divide mass by volume, and we already know the mass, so must find the volume. V = 4/3.pi.r^2, and plugging in r=6 gives V = 48.pi, about 150.8 cm^3. The mass is 1710, which we...
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Answered by Ruth H. • Maths tutor
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