Question

Any answers? No need for an explanation if you want to sure, the answer would be appreciated!

Answer 1

The given system of equations has only one solution

Solution:

Given system of equations are:

2y = x - 9 ------- eqn 1

5x - 4y = 18 ------- eqn 2

Let us first solve the system of equations

From eqn 1,

x = 2y + 9 ----- eqn 3

Substitute eqn 3 in eqn 2

5(2y + 9) - 4y = 18

10y + 45 - 4y = 18

6y = 18 - 45

6y = -27

$y = \frac{-27}{6}\\\\y = \frac{-9}{2}$

Substitute the value of "y" in eqn 3

$x = 2( \frac{-9}{2}) + 9\\\\x = -9 + 9\\\\x = 0$

Thus $(x, y) = (0, \frac{-9}{2})$

Thus the given system of equations has only one solution