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Solve the simultaneous equations : x ^2+2y=9, y=x+3 to find solutions for x and y.

We must use the substitution method for this question because the first equation is a quadratic. Take the more simple equation (the second one), and use that to substitute the value for y in to the first equ...
CR
Answered by Callum R. • Maths tutor
3738 Views

Find out the stationary points of the function f(x)=x^2*e^(-2x)

Using the product rule (u'v+v'u, where u and v are the chosen substitutes) to find the first derivative will be dy/dx=x'=2x e^(-2x)+x^(2)e^(-2x) (-2)=2x e^(-2x) (x-x^2). This will give the details about the ...
BI
Answered by Bilkan I. • Maths tutor
3751 Views

Solve the simultaneous equations: 2x+y=18 and x-y=6

To solve these simultaneous equations there are two different methods that could be used. The first one to try in this case is to start with rearranging one of the equations to get a value of y by itself. Fo...
EE
Answered by Ella E. • Maths tutor
4219 Views

Solve these simultaneous equations; 2y + x = 8, 4 + 4y = 8x

equation 1: 2y + x = 8 equation 2: 4 + 4y = 8xSolve by substitution ; simplify equation 1 2y + x = 8 x = 8 - 2y substitute into equation 2 4 + 4y = 8(8 - 2y)4 + 4y = 64 - 16y 4 + 20y = 64 20y = 60 y = 3 subs...
JH
Answered by Josephine H. • Maths tutor
4596 Views

Solve 3x + 10 = 10(2x-5)

Multiply out the right hand side so equation becomes 3x+10=20x-50Move x's to one side and numbers to other so 17x = 60x= 60/17
DS
Answered by Devin S. • Maths tutor
4061 Views