Answer:
The correct answer is option 3. (20, 4, 5)
Step-by-step explanation:
To solve this problem we use the substitution method.
(i)
(ii)
(iii)
We start by clearing x in (iii) and clearing y in (ii).
(iii)
(ii)
Now we substitute (iii) in (ii)
(iv)
Now we substitute (iii) and (iv) into (i) and clear z.
(v)
If (v)
We substitute (v) in (iii) and then substitute (v) in (iv)
The correct answer is option 3.
Answer:
x = 7/3
Step-by-step explanation:
<u>Given equation:</u>
To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.
- ⇒ –9x² + 49 - 49 = 0 - 49
- ⇒ –9x² = -49
We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.
- ⇒ –9x² = -49
- ⇒ -9x²/-1 = -49/-1
- ⇒ 9x² = 49
Clearly, we can see that 9x² and 49 are perfect squares. Therefore,
Take square root both sides of the equation:
To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation
Therefore, the value of "x" must be 7/3.
Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
Whats the problem that you need help with
