Answer:
(-2, 10)
Step-by-step explanation:
Our equations are:
-6x - [tex]\frac{2}{5}[/tex]y = 8
[tex]\frac{1}{2}[/tex]x + 3y = 29
Let's multiply the second equation by 12:
12 * ([tex]\frac{1}{2}[/tex]x + 3y) = 12 * 29
6x + 36y = 348
Now, add this new equation to the first equation:
6x + 36y = 348
+ -6x - [tex]\frac{2}{5}[/tex]y = 8
_______________
(36 - 2/5)y = 356
36 - 2/5 = 180/5 - 2/5 = 178/5
Divide both sides by 178/5:
y = 356 / (178/5) = 356 * (5/178) = 10
Plug this back into one of the original equations to get x:
(1/2)x + 3y = 29
(1/2)x + 3 * 10 = 29
(1/2)x = -1
x = -2
The answer is (-2, 10).
Hope this helps!
