Respuesta :
Answer:
A. (x , y) = ( 1, 4) is the SOLUTION of the given system of equations.
Step-by-step explanation:
Here, the given set of equations is:
2 y + 5x = 13 ....... (1)
2y - 3x = 5 ...... (2)
Now, to solve this question by SUBSTITUTION:
From (1), we get:
2 y + 5x = 13 ⇒ 2 y = 13 - 5 x
or, [tex]y = \frac{13 - 5x}{2}[/tex]
Put this value of y in (2) . We get
[tex]2y - 3x = 5 \implies 2\times\frac{(13-5x)}{2} - 3x = 5\\\implies 13 - 5 x - 3x = 5\\\implies- 8x = -8\\\implies x = 1[/tex]
Now, x = 1, put this value of x in (1),
2 y + 5x = 13 ⇒ 2y + 5(1) = 13
or, 2 y = 13- 5 = 8
or, y = 8 / 2 = 4, ⇒ y = 4
Hence, x = 1, y = 4 is the SOLUTION of the given system of equations.
