Question

Use the substitution method to solve the system of equations. Choose the

Answer 1

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, $y = \frac{13 - 5x}{2}$

Put this value of y in (2) . We get

$2y - 3x = 5 \implies 2\times\frac{(13-5x)}{2} - 3x = 5\\\implies 13 - 5 x - 3x = 5\\\implies- 8x = -8\\\implies x = 1$

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.