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Solve the simultaneous equations x + y = 1 , x^2 -2xy+y^2=9

So here we want to eliminate one variable so we are only working with either x or y by themself, so to do this we can rearrange the first equation of x+y=1 to x= 1-y. This new equation can therefore be su...

Answered by Belinda S. Maths tutor
6590 Views

Calculate 44 - (12 - 3^2)^2.

Remember the rule BIDMAS (Brackets, Indicies, Division, Multiplication, Addition, Subtraction)

Inside the brackets we have: 12 - 3and again need to remember BIDMAS. The next item to co...

Answered by Emanuel D. Maths tutor
2545 Views

Which of these numbers is the smallest? 0.8, 8.8, 0.88, 88.0, 8.08.

First notice that two numbers have 0 before the decimal point. Conclude to ignore the rest. Then compare the remaining two by adding a zero to the end of 0.8 thus making 0.80. Now compare 0.80 with 0.88 a...

Answered by Emanuel D. Maths tutor
16974 Views

The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1

Compare equation with y = mx + c

Conclude m = - 5/3

You can also deduce the y-intercept of AB is -1.

Answered by Emanuel D. Maths tutor
3365 Views

Rearrange the following to make m the subject: 4(m - 2) = t (5m +3)

Expand the brackets: 4m - 8 = 5tm + 3t

Collect all m variables to one side: 4m - 5tm = 3t + 8

Take a factor of m out: m(4 - 5t) = 3t + 8

Divide both sides by (4 - 5t): m = (3t + 8) / ...

Answered by Emanuel D. Maths tutor
4526 Views

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