Answer:
(-3,2)
Step-by-step explanation:
1) -2x+y=8
you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.
y=8+2x
2) y=2x/(5-8)
3) 8+2x=2x/(5-8)
now, you need the x value. for that, you need to leave x alone on one side.
8+2x=2x/(-3)
8+2x=-(2/3)x
8=-(2/3)x-2x
8=-(8/3)x
8/-(8/3)=x
-3=x
4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.
-2x+y=8
y=8+2x
y=8+2*(-3)
y=2
result:
x= -3
y=2
Answer:
See explanation
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Step 1: distributive property
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
Step 2: collect like terms
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
Step 3: Addition property of equality
3x + 14 = 5x - 18
3x + 14 + 18 = 5x - 18 + 18
3x + 32 = 5x
Step 4: subtraction property of equality
3x + 32 - 3x = 5x - 3x
32 = 2x
Step 5: division property of equality
32 = 2x
32/2 = 2x/2
16 = x
x = 16
The answer to this is 1 pound and 4 ounces.
Answer:
The angle between the 190 ft. side and the 330 ft. side is 
Step-by-step explanation:
<u>The Law of Cosines</u>
When we know the value of all sides of a triangle, we can compute all of its interior angles by using the Law of Cosines, which is a generalization of the Pythagoras's theorem. If a,b, and c are the known sides of a triangle and 
is the angle formed by sides a and b (opposite to c), then
We'll use the values a=190, b=330, c=280 because we want to compute the angle opposite to c
