1. 2x - 3y = - 6

2. 8x + 4y = - 56

Step-by-step explanation:

[tex]let / / 2x - 3y = - 6 / : / : / : / : / : eq. 1/ / 8x + 4y = - 56 / : / : / : / : / : eq. 2 / / now / : / / eq. 1 / times 4 - eq. 2 / / the / : we / : get / / - 16y = 32 / / y = - / frac{16}{8} = -2 / / and / : / / x = - 6

Step-by-step explanation:

2x - 3y = - 6 ... (1)

8x + 4y = - 56 ... (2) multiply equation (1) all through by 4

8x - 12y = - 24 ... (3)

Subtract eq (3) from (3)

8x + 4y - (8x - 12y) = - 56 - (-24)

8x + 4y - 8x + 12y = - 32

8x cancels out

4y + 12y = - 32

16y = - 32

y = -2

Substitute y = - 2 in eq (1)

2x - 3 (-2) = - 6

2X + 6 = - 6

2x = -6-6

2x = - 12

x = -6

Therefore, x = - 6, y = - 2.