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Maths
GCSE

Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x2+y2=25; y-3x=13; x2+(13+3x)2=25; x2+9x2+78x+169=25; 10x2+78x+144=0; 5x2+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7...

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Answered by Nadia C. • Maths tutor
2896 Views

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.

AW
Answered by Alfie W. • Maths tutor
4852 Views

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...

SH
Answered by Samuel H. • Maths tutor
3953 Views

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 t...

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Answered by Obaid U. • Maths tutor
5191 Views

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 "...

AF
Answered by Adil F. • Maths tutor
4681 Views

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