Answer: C. (-4, -2)
<u>Step-by-step explanation:</u>
First, eliminate one of the variables and solve for the remaining variable:
2x - 5y = 2 → 3(2x - 5y = 2) → 6x - 15y = 6
3x + 2y = -16 → -2(3x + 2y = -16) → <u> -6x - 4y = 32</u>
-19y = 38
y = -2
Next, replace "y" with -2 into either of the original equations to solve for x:
2x - 5y = 2
2x - 5(-2) = 2
2x + 10 = 2
2x = -8
x = -4
x = -4, y = -2
<u>Check:</u>
Plug in the x- and y-values into the other original equation:
3x + 2y = -16
3(-4) + 2(-2) = -16
-12 + -4 = -16
-16 = -16 
The x intercept would be on (-2,0)
Answer:
x = 2 is a solution
x = 0 is an extraneous solution
(Option 2)
Step-by-step explanation:
4/x = (3x + 2)/x²
4x² = 3x² + 2x
x² - 2x = 0
x(x - 2) = 0
x = 0, x = 2
Verification:
4/x = (3x + 2)/x²
At x = 2
4/2 = [3(2) + 2]/2²
2 = 8/4
2 = 2
At x = 0
4/0 = [3(0) + 2]/0²
Is undefined
Answer:
2. This is only true when x=-3.
3. This is only true when x=3.
4. This is only true when x=12.
5. This has no solution.
6. This has an infinite number of solutions.
Answer:
11/40
Step-by-step explanation:
2/5 − 3/4 (1/6)
2/5 − 1/8
= 11/40