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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 an...

EM
Answered by Eric M. Maths tutor
3905 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
2791 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
3206 Views

Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equatio...

EW
Answered by Ella W. Maths tutor
6883 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
4596 Views

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