Algebra

Question 1

how do you solve a pair of simultaneous equations?

Answer 1

A simultaneous equation is two (or more) equations which contain more than one letter term.

• To solve a pair of simultaneous equations, first eliminate one of the letter terms (make coefficient of 1 letter the same) and find the value of the remaining letter.
• You can then substitute this value into the original equations to find the value of the other letter term.
• depending on the question either:

1. equate the coefficients
2. get the coefficients the same by multiplying one of the equations
3. multiply both equations to get the coefficients the same

Question 2

solve this pair of simultaneous question:

Answer 2

Question 3

solve this pair of simultaneous equations

Answer 3

Question 4

solve this pair of simultaneous equations

Answer 4

Question 5

solve the following problem using simultaneous equations

On a farmyard there are chickens and dogs. In total there are 46 legs and 19 heads.

How many chickens and dog are there?

Answer 5