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How would I solve y=3x, 2x+y=5 using the substitiution method?

y=3x (1) 2x+y = 5 (2) Here we are being asked to find what the value of x and y is. It is asking us to substitute either x or y into the equation to help us find our solution. Now substitue means remove some...
SJ
Answered by Samantha J. • Maths tutor
10287 Views

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 find the x values (and corresponding y values...
AH
Answered by Anthony H. • Maths tutor
10371 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 equation 1)) into eqaution 2) -7x +5(-3x-2)=34 -7x-15x-10=34 -22x=44 x=-2 subsitute x into 1)) y=...
SJ
Answered by Shaan J. • Maths tutor
9114 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
6823 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: sin 2 (x) + cos 2 (x) = 1 1 - cos 2 (x) = sin 2 (x) Substituting this into the e...
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Answered by Andrew B. • Maths tutor
9160 Views