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.
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
