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4x-y=3 and 3x-2y=1. Solve these simultaneous equations to find values for x and y.

Equation 1: 4x-y=3 Equation 2: 3x-2y=1 We have to find a common multiple between 4 and 3 so that both equations have the same first value. This means that we can get rid of the x by subtracting the second eq...
JH
Answered by Jami H. • Maths tutor
11954 Views

There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?

First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February is the 8th day of the month, so in total between Ja...
RD
Answered by Roman D. • Maths tutor
8217 Views

Find the equation of the straight line joining points (-1, -4) and (2, 5)

Draw sketch of line 2. Find gradient using m=(y 2 - y 1 )/(x 2 - x 1 )= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because there's no negaitves. 4. Sub into equation y-b=m...
BM
Answered by Ben M. • Maths tutor
8926 Views

Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x 2 =4(x-3)(x-3)=4(x 2 -6x+9)=4x 2 -24x+36 Deducting 'x 2 ' from both sides: 0=3x 2 -24x+36 Dividing by 3 and factorising: 0=x 2 -8x+12=(x-6)(x-2) Therefore sol...
MG
Answered by Matthew G. • Maths tutor
3469 Views

How do I factorise this expression? [Let’s say it’s x^2 + 5x + 6]

The expression is of the form ax^2 + bx + c. Here, a = 1 and this makes it easier for us. We can also see that b = 5 and c = 6. In general, we have to find two numbers that multiply to get c and add to get b...
LC
Answered by Luke C. • Maths tutor
3903 Views