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Solve algebraically: 6a+3b=24, 3a-b=7

Equation 1 : 6a+3b=24Equation 2: 3a-b=7 Rearrange equation 2 to make b the subject:add b to both sides : 3a=7+bminus 7 from both sides: 3a-7=b Substitute this into Equation 1 : 6a + 3(3a-7)=24 Multiply out t...
EG
Answered by Emily G. • Maths tutor
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Find the coordinates of the stationary points of the curve 3x=y+6x+3

First, straight away from reading the question you know this question will involve differentiating the function with respect to x so immediately you want to re-write the equation in terms of y which in this ...
JS
Answered by James S. • Maths tutor
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The equation of line L1 is y=4x+3, The equation of line L2 is 4y-16x-2=0, Show that these two lines are parallel.

The equation of a line is shown in the form y=mx+c to prove that two lines run parallel you must prove that they have the same gradient or value of 'm', the number before x. The first equation L1 is already ...
SC
Answered by Sophie C. • Maths tutor
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What is the difference between direct and representative democracy

Definitions: short, sharp key works to gain the marks- especially for the 5 mark definition questions in GPO1/GPO2 Direct Democracy: In a direct democracy people vote on policies directly such as the Brexit ...
PS
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Simplify (8x^2 + 36x)/(2x + 9) and explain why it is an even expression.

You have to understand what makes an expression even. Even numbers are formed by either two odd numbers being added together or an even number x an odd number. We can start by looking at the denominator. Imm...
MB
Answered by Mounir B. • Maths tutor
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