Question

Please I need help

Solve the system by substitution.

{

2

.

5

x

−

3

y

=

−

13

3

.

25

x

−

y

=

−

14

Answer 1

(x, y) = (-3 5/8, 1 5/16)

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=-(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.