Question

Here are two simultaneous equations

x + y = 8
x – y = 3

Which pair of coordinates satisfies both equations?
Circle your answer.
[1 mark]

(3, 5) (6.5, 1.5) (5.5, 2.5) (2.5, 5.5)

Answer 1

1 and 7
2 and 6
3 and 5
4 and 4
5 and 3

Soo.. x = 5
And.. y = 3

Answer 2

Explanation:

Given -

Equations

1. x + y = 8
2. x - y = 3

To Find -

• which pair of coordinates satisfies both equation

Now,

adding both equation, we get -

x + y + x - y = 8 + 3

2x = 11

x = 11/2

x = 5.5

Now, substituting the value of x on x + y = 8, we get -

5.5 + y = 8

y = 8 - 5.5

y = 2.5

Hence,

(5.5, 2.5) pair of coordinates satisfies both equations.