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Solve the two simultaneous equations. 1. x^2 + y^2 = 25, 2. y - 3x = 13

The way to solve simultaneous equations is to 'slot in' one equation into the other. For this question, we will use the information in equation 2 (after manipulating it) to solve equation one. First, we a...

Answered by Jazir L. • Maths tutor

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Factorize x^2-x-20

Let's think backwards - what can we multiply to get this result?First, let's take a simpler example, an expression:(x-1)(x-2). We multiply 1st term of the 1st brackets by terms of the 2nd bracket and then...

Answered by Tomasz B. • Maths tutor

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Jason and Mary leave their houses at the same time. They travel towards each other, Mary at 20km/h and Jason at 15km/h. They pass each other after an hour and a half. What was the original distance between them when they started?

Mary = 20km/h Jason = 15km/h s = d/t After 1.5 hours, Mary = 30km and Jason = 22.5km 30 + 22.5 = 52.5km

Answered by Zac C. • Maths tutor

2962 Views

Solve y = x^2 + 3x + 2 = 0

Factorising gives: y = (x+2)(x+1) = 0. y only equals 0 when (x+2)=0 or (x+1)=0. Therefore x=-2 or x=-1

Answered by Sean L. • Maths tutor

2943 Views

Solve the simultaneous equations 3x +y =11 and 2x+y=8

Equation 1: 3x+y= 11, Equation 2: 2x+y=8. You want to find out what x is and what y is.In both equations there is only 1 unit of y therefore it is easiest to rearrange the first equation so that it equals...

Answered by Kathryn M. • Maths tutor

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