Answer:
[tex](x=3,y=-9)[/tex]
Step-by-step explanation:
The given systems is;
[tex]1.2x + 2.4y = - 18 \\ - 0.8x + 0.4y = 6[/tex]
Divide the top equation by 1.2 and the bottom equation by by 0.8 to get:
[tex]x + 2y = - 15 \\ - x + 0.5y = 7.5[/tex]
Now add both new equations:
[tex]2y + 0.5y = 15 + - 7.5[/tex]
[tex]2.5y = 7.5[/tex]
[tex]x = \frac{7.5}{2.5} = 3[/tex]
Let us substitute x=3 into x+2y=-15 and solve for y.
3+2y=-15
2y=-15-3
2y=-18
y=-9
The solution is (x=3,y=-9)
