Answer:
x = 3 and x = 7
Step-by-step explanation:
Equate the product of the factors to zero, that is
(x - 3)(x - 7) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 7 = 0 ⇒ x = 7
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
We are given x so we can plug it in to the first equation to find y
11 - y = 6
We don’t want y to be negative so we subtract y from both sides
11 = 6 + y
Now we can subtract 6 from both sides
5 = y
Answer:
31.889
Step-by-step explanation:
When a negative number is in absolute value signs, it will be positive. (Same for positive numbers).
