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Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 ...

Answered by Zoe L. • Maths tutor

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FIRSTLY: John has a slice of pizza in the exact shape of an isosceles triangle. 2 sides measure Y + 5 and 1 side measures Y – 2. Write an expression for the total perimeter. SECONDLY: Multiply out the following brackets: (3Y + 8)(3Y + 2)

First part: An isosceles triangle has 2 sides of the same length and 1 side of a different length. 2 of these sides: 2 x (Y + 5) = 2Y + 10. 1 side: Y – 2. The perimeter is the tota...

Answered by Rosie W. • Maths tutor

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A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.

There's a lot of information here so we should start out by drawing up a diagram. From this we can see that we have a right-angled triangle, and we know two of the angles and want to work out a third. The...

Answered by Rohan S. • Maths tutor

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Write the number 0.0534 in standard form (1 mark)

5.34 x 10^-2

Answered by Christopher T. • Maths tutor

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2x+y=18, x-y=6; Solve the simultaneous equations

2x+y =182) x-y =6(x-y=6) multiply by +22x-2y = 121) 2x+y = 182) 2x-2y=12 -subtract equation 2 from equation 10x-y=6 -Therefore -y=6 so y= -6Put value for y into either of the equation in order to fi...

Answered by Saskia W. • Maths tutor

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