Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
Answer:
-6
Step-by-step explanation:
Answer:
J. (2, -3)
Step-by-step explanation:
1. Substitute y = x - 5 in for y in the other equation:
5x + 2(x - 5) = 4
2. Simplify:
5x + 2x - 10 = 4 (distributed the 2)
7x - 10 = 4
3. Isolate for x:
7x - 10+10 = 4+10
7x = 14
7x/7 = 14/7
x = 2
4. Plug the new x value into an equation and solve for y:
y = 2 - 5
y = -3
hope this helps!
Answer: 2 hours and 40 minutes
Step-by-step explanation:
- 40 + 55h = 190 ( equation )
- -40 -40
- 55h = 150
- /55 /55
- h = 2 hours and 40 min ( answer )
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
