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Solve the simultaneous equations y = x + 3, y^2 - x^2 + 3 = -6x

Here, we have two equations involving two variables, x and y. 


The question asks us to 'solve' the set of simultaneous equations.

Equivalently, it is asking us to

AH
Answered by Anthony H. Maths tutor
9622 Views

Solve the simultaneous equation: 3x+y=-2, -7x+5y=34.

3x+y=-2        ...1)

-7x+5y=34     ...2)

Using the substitution method:

Rearrange equation 1):

y=-3x-2       ...1))

substitute equa...

SJ
Answered by Shaan J. Maths tutor
8343 Views

If f(x) = 4x - 7 and f(c) = 9, find the value of c.

To find the value of c, we need to find the value of x in the following: 4x - 7 = 9.

Add seven to both sides: 4x = 16

Divide by 4: x = 4

AB
Answered by Andrew B. Maths tutor
6324 Views

Given that 5cos^2(x) - cos(x) = sin^2(x), find the possible values of cos(x) using a suitable quadratic equation.

First, need to get all the terms in the equation to be the same. Using the following identity, it is possible to achieve this:

sin2(x) + cos2(x) = 1

1 ...

AB
Answered by Andrew B. Maths tutor
8527 Views

Factorise and solve x^2 – 8x + 15 = 0

This equation is of the form ax2 + bx + c = 0 (where a = 1, b = -8 and c = 15). To help solve it, find two numbers that add to give the value of b (the 'sum') and also when multiplied togeth...

AB
Answered by Andrew B. Maths tutor
12091 Views

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