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make x the subject of 5(x-3) = y(4-3x)

step 1 ; expand the brackets5x - 15 = 4y - 3xystep 2 ; group together x values on one side5x + 3xy = 4y + 15step 3 ; single out xx (5+3y) = 4y +15step 4 ; make x the subjectx = (4y + 15) / (5+3y)

SA
Answered by Sofia A. Maths tutor
4491 Views

Write down the length of side "a"

Using Pythagoras' theorem: a2 = b2 + c2You can use the length of the other two sides to calculate a.

RK
Answered by Rhys K. Maths tutor
2583 Views

Solve these simultaneous equations 2y+x=8, 1+y=2x.

When solving simultaneous equations the first step is to take one of the equations and rearrange it to make one of the terms the subject. In this case lets take the equation 1+y=2x. Take the 1 over to the...

LK
Answered by Lewis K. Maths tutor
3248 Views

Find the value of roots of the quadratic: x^2-13x=30

First rearrange the equation so the LHS is equal to Zero:X2-13x-30=0Then find the factors of -30:-1,30/1,-30-2,15/2,-15-3,10/3,-10-6,5/6,-5Chose the factor pairs which add to equal -13which is ...

TZ
Answered by Tabonga Z. Maths tutor
2776 Views

Solve ((6+x)/2) + ((2-3x)/3) = 31/6

To solve this first we need to simplify the equation by multiplying the denominators by a common factor. If we multiply both sides of the equation by 6 we shall get an equation that is expressed with deno...

EJ
Answered by Ellis J. Maths tutor
3284 Views

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