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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...
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Answered by Emily G. • 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 ...
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Answered by Sophie C. • Maths tutor
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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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Describe two reasons why Adolph Hitler was able to consolidate power so quickly between January 1933 and July 1933. [4 marks]

AQA example responses ask for students to 'demonstrate knowledge of the key features and characteristics of the periods studied (AO1a) [and] Demonstrate understanding of the key features and characteristics ...
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Answered by George R. • History tutor
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Solve the simultaneous equations. 2x + y = 18, x − y = 6

1.Isolate either x or y. in this example you can do this by moving adding y to both sides of the second equation x-y=6 becomes x=6+y 2.substitute this into the other equation 2(6+y) + y = 18 3.simplify this ...
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Answered by Sarah R. • Maths tutor
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