Question

Please I need help

Solve the system by substitution.

{

2

.

5

x

−

3

y

=

−

13

3

.

25

x

−

y

=

−

14

Answer 1

Answer:

  (x, y) = (-3 5/8, 1 5/16)

Step-by-step explanation:

Add y+14 to the second equation to get ...

  3.5x +14 = y

Substitute this for y in the first equation:

  2.5x -3(3.5x +14) = -13

  2.5x -10.5x -42 = -13

  -8x = 29

  x = -29/8 = -3 5/8

Using this in the formula for y, we get ...

  3.5(-29/8) +14 = y

  -203/16 +14 = y = 21/16 = 1 5/16

Answer 2

Answer : The value of x and y is, 4 and 27 respectively.

Step-by-step explanation :

The given equations are:

$2.5x-3y=-13$       ...........(1)

$3.25x-y=-14$      .........(2)

or,

$y=3.25x+14$     ..........(3)

Now put equation 3 in 1, we get the value of 'x'.

$2.5x-3y=-13$

$2.5x-3(3.25x+14)=-13$

$2.5x-9.75x-42=-13$

$-7.25x=-13+42$

$-7.25x=29$

$x=-\frac{29}{7.25}$

$x=-4$

Now put the value of 'x' in equation 3, we get the value of 'y'.

$y=3.25x+14$

$y=3.25(4)+14$

$y=13+14$

$y=27$

Therefore, the value of x and y is, 4 and 27 respectively.