Respuesta :

imlittlestar

Answer:

x = -1 and y = -4

Step-by-step explanation:

It is given that,

3x - 2y = 5     ----(1)

-2x - 3y = 14 ------(2)

To find the solution of equations

(1) * 2 ⇒

6x - 4y = 10  -----(3)

(2) * 3 ⇒

-6x - 9y =  42   ----(4)

eq(3) + eq(4) ⇒

6x - 4y = 10  -----(3)

-6x - 9y =  42  ----(4)

 0   - 13y = 52

y = 52/(-13) = -4

Substitute the value of y in eq(1)

3x - 2y = 5     ----(1)

3x - (2 * -4) = 5

3x  +8 = 5

3x = 5 - 8 = -3

x = -3/3 = -1

Therefore x = -1 and y = -4

luisejr77

Answer:

The solution is:

[tex](-1, -4)[/tex]

Step-by-step explanation:

We have the following equations

[tex]3x - 2y =5[/tex]

[tex]-2x - 3y = 14[/tex]

To solve the system multiply by [tex]\frac{3}{2}[/tex] the second equation and add it to the first equation

[tex]-2*\frac{3}{2}x - 3\frac{3}{2}y = 14\frac{3}{2}[/tex]

[tex]-3x - \frac{9}{2}y = 21[/tex]

[tex]3x - 2y =5[/tex]

---------------------------------------

[tex]-\frac{13}{2}y=26[/tex]

[tex]y=-26*\frac{2}{13}[/tex]

[tex]y=-4[/tex]

Now substitute the value of y in any of the two equations and solve for x

[tex]-2x - 3(-4) = 14[/tex]

[tex]-2x +12 = 14[/tex]

[tex]-2x= 14-12[/tex]

[tex]-2x=2[/tex]

[tex]x=-1[/tex]

The solution is:

[tex](-1, -4)[/tex]

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