Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
Answer:
X = 2
Step-by-step explanation:
Answer:
x= 5/4 ; y= -7/4
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=2;5x−y=8
Step: Solve3x+y=2for y:
3x+y+−3x=2+−3x(Add -3x to both sides)
y=−3x+2
Step: Substitute−3x+2foryin5x−y=8:
5x−y=8
5x−(−3x+2)=8
8x−2=8(Simplify both sides of the equation)
8x−2+2=8+2(Add 2 to both sides)
8x=10
8x
8
=
10
8
(Divide both sides by 8)
x=
5
4
Step: Substitute
5
4
forxiny=−3x+2:
y=−3x+2
y=−3(
5
4
)+2
y=
−7
4
(Simplify both sides of the equation)
Answer:
x=
5
4
and y=
−7
4
The trip there is 58.5$ and the trip back is 63$. 63-58.5= 4.50. Which makes the answer B
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
