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Maths
GCSE

Solve the following simultaneous equations: x+y=9; x-2y+1=1.

Step 1: x+y=7 can be rearranged as: x= 9 - y.Step 2: We substitute the expression of x in the second equation: 9 - y - 2y + 1 = 1Step 3: We calculate the value of y. 9 + 1 - 1- 3y=0. It is equivalent with...

DT
Answered by Daniel T. Maths tutor
3557 Views

120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?

Step 1- Workout how many people overall said yes.
We Know overall there are 200 people and of these 200 people 1/4 said yes. Therefore, we need to workout 1/4 of 200. Simply divide 200 by 4. 200/4=5...

HR
Answered by Harry R. Maths tutor
8882 Views

Solve algebraically the simultaneous equations, giving your answers in terms of b : 3x+by=5, x-y=-2

First, I would label the two equations 1 and 2:(1) 3x+by=5(2)x-y=-2Next, multiply (2) by 3 and subtract this equation from (1) in order to cancel out the x terms: 3x+by=5-(3x-3y=-6)This results in the equ...

TL
Answered by Thomas L. Maths tutor
2925 Views

A straight line goes through the point (7, 5) with a slope of 2. What is the equation of the line?

Th equation of a line is denoted as y = mx + c, with m as the slope and c as the y intercept. We already know that the slope is 2. Since the line passes through the point (7, 5)...

CC
Answered by Caitlin C. Maths tutor
5214 Views

Simplify- (8/27)^(2/3)

We know that (8/27)^(1/3). = (2/3)Then do (2/3)^2 = (4/9)Split up 2/3, into powers of 1/3, and 2.

TM
Answered by Theo M. Maths tutor
4742 Views

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