Substitute each equation by multiplication.

6x-2y=-6

-2x-3y=2

x = - 1

y = 0

Step-by-step explanation:

to solve the equation by substitution in order to evaluate for x and y

let

6x-2y=-6 ... equation 1

-2x-3y=2 ... equation2

from equation 2

-2x-3y=2 ... equation2

-2x - 2 = 3y

divide both sides by 3

(-2x - 2) / 3 = y

y = (-2x - 2) / 3 ... equation3

substitute y = (-2x - 2) / 3 into equation 1

6x-2y=-6 ... equation 1

6x - 2[ (-2x - 2) / 3] = - 6

6x + (4x + 4) / 3 = - 6

multiply through by 3

18x + 4x + 4 = - 18

22x = - 18-4

22x = - 22

divide both sides by the coefficient of x which is 22

22x/22 = - 22/22

x = - 1

substitute for x in equation 3

y = (-2x - 2) / 3 ... equation3

y = - 2 (-1) - 2/3

y = 2 - 2/3

y = 0/3

y = 0

therefore the value of x and y is - 1 and 0 respectively