Question

In the following, find the co-ordinates of the point whose abscissa is the solution of first equation and the ordinate is the solution of the second equation: 

5x – 1 = 9 and 3y + 1 = y – 5

Answer 1

Given: 5x – 1 = 9 and 3y + 1 = y – 5.

Step-wise calculation:

1. Solve for x:

5x – 1 = 9

5x = 9 + 1

5x = 10

x = `10/5`

x = 2

2. Solve for y:

3y + 1 = y – 5

3y – y = –5 – 1 

2y = –6 

y = `-6/2` 

y = –3

The coordinates of the point are (2, –3).