The answer is C. All students enrolled at Springfield high school.
Answer:
x = 18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+x+x=54
(x+x+x)=54(Combine Like Terms)
3x=54
3x=54
Step 2: Divide both sides by 3.
3x 3
=
54
3
x=18
Answer:
x=18
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Answer:
B
Step-by-step explanation:
By the definition,
If we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,
So,
Answer:
You can substitute
4
as
x
in the first equation because
x
and
4
are equal.
2
(
4
)
+
y
=
29
8
+
y
=
29
y
=
21
Step-by-step explanation: