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Solve algebraically the following system of equations: 4x + 5y = -3; 6x - 2y = 5

To solve these algebraically, we need to eliminate one of the two variables (either x or y) and solve for the remaining variable. We then substitute the answer found into one of the two given equations to...

CS
Answered by Cara S. Maths tutor
5914 Views

Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13

  1. Rearrange y - 3x = 13y = 3x + 13 2. Substitute into x^2 +y^2 = 25x^2 + (3x + 13)^2 = 25 3. Expand bracketx^2 +(9x^2 + 39x +39x +169) = 25 4. Form quadratic equation 10x^2 + 78x + 144 = 0 (Dividing b...
EN
Answered by Emily N. Maths tutor
4689 Views

There are 5 girls, 6 boys and some adults in a classroom. The probability that a girl is chosen is 1/3. What is the probability of an adult being chosen?

This is a question taken straight out of an Edexcel exam paper. I think it's a good test of GCSE level probability and algebra. We don't know how many adults there are to begin with so let's say n...

JM
Answered by Jack M. Maths tutor
9275 Views

John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

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