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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 and t...
EM
Answered by Eric M. • Maths tutor
4959 Views

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

x 2 + 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). The pair we need is...
JB
Answered by Joseph B. • Maths tutor
3917 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 point...
LR
Answered by Lucille R. • Maths tutor
4344 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. to find y on its...
GH
Answered by George H. • Maths tutor
6160 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 = 2...
PO
Answered by Peter O. • Maths tutor
4051 Views