Answer:
The solution set is (-20/9, -95/9)
Step-by-step explanation:
To solve using the substitution method, start by solving the second equation for y.
1/3y = 7/3x + 5/3
y = 7x + 5
Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.
-4x - 2(7x + 5) = 30
-4x - 14x - 10 = 30
-18x - 10 = 30
-18x = 40
x = -20/9
Now that we have the value of x, we can solve for y by inputting the x value into either equation.
-4x - 2y = 30
-4(-20/9) - 2y = 30
80/9 - 2y = 30
80/9 - 2y = 270/9
-2y = 190/9
y = -95/9
Answer:
Karen will have to pay $9,450 back to the bank. If Karen gives monthly payments of $207.26, she will be able to pay off her loan in around 3.6 years.
Step-by-step explanation:
5% of 9,000 is 450
9,000+450=9,450
Karen will have to pay $9,450 back to the bank where there is a 5% interest rate.
Answer:
28, 56, 84, 112, etc.
Step-by-step explanation:
Since 28 is the first number they have in common, 28 is the least common multiple of 4 and 7.
2(3)2 - 8 ÷ 2 + 6
(6) 2 - 8 ÷ 2 + 6
12 - 8 ÷ 2 + 6
12 - 4 + 6
8 + 6
14
Answer:
49 blue marbles
Step-by-step explanation:
From the question we are given;
- Total number of marbles = 58
- Blue marbles are 4 more than 5 times the red marbles
We need to determine the number of blue marbles;
Assuming the number of red marbles is x
Then, blue marbles will be 5x + 4
Therefore;
x + 5x + 4 = 58
6x + 4 = 58
6x = 54
x = 9
5x + 4 = 5(9) + 4 = 49
Therefore, the red marbles are 9 while the blue marbles are 49
Hence there are 49 blue marbles