Answer:
The variable titled "the number" is A: 12.
Step-by-step explanation:
The problem is 8 * (x - 6) = 4 * x
Try the first number as x and rewrite the expression.
8 * (12 - 6) = 4 * 12
Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.
12 - 6 = 6
Rewrite the problem.
8 * 6 = 4 * 12
8 times 6 is 48.
4 times 12 is 48.
The variable in the expression 8 * (x - 6) = 4 * x is 12.
Answer:
-4n - 5
Step-by-step explanation:
4 - 9
= -5
-5n + n
Combine like terms
= -4n
-4n - 5
Answer:
b 15/4
Step-by-step explanation:
By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
<h3>How to solve a system of equations</h3>
In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:
x - y = 5 (1)
x² · y = 5 · x + 6 (2)
By (1):
y = x + 5
By substituting on (2):
x² · (x + 5) = 5 · x + 6
x³ + 5 · x² - 5 · x - 6 = 0
(x + 5.693) · (x - 1.430) · (x + 0.737) = 0
There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737
And the y-values are found by evaluating on (1):
y = x + 5
x₁ ≈ 5.693
y₁ ≈ 10.693
x₂ ≈ 1.430
y₂ ≈ 6.430
x₃ ≈ - 0.737
y₃ ≈ 4.263
By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
To learn more on nonlinear equations: brainly.com/question/20242917
#SPJ1
<span>5 is a prime number. </span>
