Answer:
The value of x= - 4 and y = 3 .
Step-by-step explanation:
As given the equations
5x – 6y = –38
3x + 4y = 0
Multiply 5x – 6y = –38 by 3
15x - 18y = -114
Mutiply 3x + 4y = 0 by 5
15x + 20y = 0
Than the two equations are
15x - 18y = -114
15x + 20y = 0
Subtracted 15x + 20y = 0 from 15x - 18y = -114 .
15x - 15x - 18y - 20y = -114
-38y = -114
[tex]y = \frac{114}{38}[/tex]
y = 3
Putting this value in the equation
15x + 20 × 3 = 0
15x + 60 = 0
15x = -60
[tex]x = \frac{-60}{15}[/tex]
x = -4
Therefore the value of x= - 4 and y = 3 .
