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Maths
GCSE

Solve these equations simultaneously: (1) 5x - 10z = -45 and (2) 9x = -5z + 80

There are two methods to solve this equation. 1) Rearrange equation 2 to get all the xs and zs on the left hand side (9x+5z=80). Multiply either equation to get an equal number of xs or zs in both equatio...

MP
Answered by Matilda P. Maths tutor
3687 Views

How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?

Firstly, label each coefficient: coefficient in front of x2 “a”, is equal to 4. “b” is the coefficient in front of x is equal to +4 “c” is equal to -15

The procedure for factorising starts with wo...

BS
Answered by Bhavin S. Maths tutor
7696 Views

The circle c has equation x^2 + y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

The first step would be to form an equation for the line l. Using y=mx+c, and the information provided in the question, the equation for line l is y=3x+1. To find the coordinates of where c and l intersec...

DP
Answered by Dilan P. Maths tutor
7951 Views

If there are 20 marbles in a bag and 1/5 are red, what fraction are red if 1 more red marble is added?

Originally, 1/5 of 20 marbles are red. 1/5 of 20 = 4. If i add 1 more we have 5 red marbles. 5/20 = 1/4.

LO
Answered by Liam O. Maths tutor
6492 Views

How do you solve the following simultaneous equations? 4x-3y=18, 7x+5y=52

First, we need to try and eliminate one of the x or the y variables from both equations. Here, we are going to eliminate the y variable. In order to do this, we need to make the y coefficients equal in bo...

AO
Answered by Alma O. Maths tutor
4624 Views

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