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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 fi...
CS
Answered by Cara S. • Maths tutor
6512 Views

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

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 by 2 makes...
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Answered by Emily N. • Maths tutor
5234 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 = number o...
JM
Answered by Jack M. • Maths tutor
10348 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.

Just to make things easier to write I will be using some letters to mean things.I will write:J = John's ageK = Kim's ageV = Vanessa's age.So John is n years old so John's age is n --> J = n. Kim is three ...
JM
Answered by Jack M. • Maths tutor
5336 Views

What is the remainder when you divide 2x^3+7x^2-4x+7 by x^2+2x-1?

Before we answer the question let's compare the method taught for polynomial long divison to regular long division.If we wanted to find the remainder of 71 when divided by 3, we would find the nearest whole ...
JM
Answered by Jack M. • Maths tutor
4768 Views