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Maths
GCSE

Solve the simultaneous equations 3x + y = 4 x + y = 2

Rearrange the second equation (or first) in terms of y (or x) y = 2-xthen subsitute into the other equation 3x + (2-x) = 4The solve for x : 2x = 2 x = 1then subsitute that value for x into any equation an...

EM
Answered by Eric M. Maths tutor
4114 Views

Find the roots of the formula x^2 + 4x + 3 by factorising.

x2 + 4x + 3 is a quadratic equation. We're looking for a pair of numbers that add to make 4, and multiply together to make 3. Students should be encouraged to try options (e.g. 2 and 2).
T...

JB
Answered by Joseph B. Maths tutor
3045 Views

How do I find the equation of a line between two points?

The equation of a line is written in the form y=mx+c where m is the gradient of the line and c is the y-intercept. These are the two values that we will need to calculate.For example, lets take the two p...

LR
Answered by Lucille R. Maths tutor
3383 Views

Solve the simultaneous equations 3x + 2y = 4, 4x + 5y = 17

To solve this pair of simultaneous equation I will use the substitution method however the elimination method could also be used here.
Eq1. 3x + 2y = 4
Eq2. 4x + 5y = 17
First rearrange Eq1...

GH
Answered by George H. Maths tutor
4935 Views

In a recent election, 42% of the voters were male. There were 400 more female voters than male voters. Assuming all voters are either male or female, how many voters were there overall?

Since 42% of voters are male, 58% must be female. Since 58-42 = 16, the difference of 400 represents 16% of the voters. We can then divide 400 by 16 to get 25, which represents 1% of the voters. 25 x 100 ...

PO
Answered by Peter O. Maths tutor
3284 Views

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