Hello from MrBillDoesMath
Answer: 12, 9
Discussion:
Let x be the first number and y the second number. The form the problem statement:
x + y = 21
x - y = 3
Add the two equations. This gives:
(x + x ) + ( y-y) = 21 + 3 =>
2x + 0 = 24 =>
x = 12
Since x -y =3, substituting in the value of x gives, 12 - y = 3 so y = 9
Thank you,
Mr. B
Answer:
i don't see nothing
Step-by-step explanation:
The slope formula is y2-y1/x2-x1 so 5-(-1) =6 Then. 1-(-1)=2 so 6/2. =3. THE ANSWER IS 3
The first would be 4,000 and the second would be 400
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 :
- 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 :
- 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous