Answer:
x ≥ -3
x ≤ 3
Step-by-step explanation:
For the first inequality, just add 3 to both sides.
For the second inequality, add 4 to both sides then divide both sides by 3.
Answer:
$700
Step-by-step explanation:
So, I like to extract the information we know and form it into an equation.
So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.
Your dad has $20,000 in the bank.
Before we write the equation let's find what two thousand less than a fourth of 20,000 is.
20,000/4 = 5,000
Now, 5,000 - 2,000 = 3,000
Ok let's say x is how much money you have
So:
4x + 200 = 3,000
we can isolate the variable by subtracting 200 from both sides
4x = 2,800
then we can divide by 4 on each side
x = 700
so you have $700 in the bank
Answer:
The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.
Step-by-step explanation:
Consider the system of linear equations:

The system of linear equations can have zero, one, or an infinite number of solutions:
simplify equation (1):

substitute in equation (2), we get

we cannot find the value of
and
.
so, there is no solution.
Multiply the equation (1) with 3 and put k is 6,

it means both equations are overlapped. Then, the solution has infinite solutions.
Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.
Answer:
Step-by-step explanation:
Substituting x and y values into the equations, we can get the equation
y = 7 -3x
slope: -3