Use the equation y − 5 = x/3
to fill in the missing values in the table below. (Type in numbers for your answers, do not spell the numbers out or it will count it wrong.)
x y
blank 1
-3 4
0 blank
6 blank
blank 8
To fill in the missing values in the table, we can substitute the given values of x into the equation y - 5 = x/3 and solve for y.
For the missing value of y when x is blank 1:
1 - 5 = x/3
-4 = x/3
x = -12
Therefore, when x is blank 1, y is -4.
For the missing value of x when x is -3:
y - 5 = -3/3
y - 5 = -1
y = 4
Therefore, when x is -3, y is 4.
For the missing value of y when x is 0:
0 - 5 = 0/3
-5 = 0
Therefore, when x is 0, y is -5.
For the missing value of x when y is blank 8:
y - 5 = x/3
8 - 5 = x/3
3 = x/3
3 * 3 = x
x = 9
Therefore, when y is blank 8, x is 9.
Therefore, the completed table is:
x y
-12 1
-3 4
0 -5
6 8
9 8
To fill in the missing values in the table, we can use the given equation y - 5 = x/3.
Let's solve the equation for each missing value:
For the first missing value:
y - 5 = x/3
Since y is given as 1, we substitute y = 1 into the equation:
1 - 5 = x/3
Simplifying the equation:
-4 = x/3
To find x, we multiply both sides of the equation by 3:
-4 * 3 = x
Solving the multiplication:
-12 = x
Therefore, the first missing value is x = -12.
For the second missing value:
y - 5 = x/3
Since x is given as -3, we substitute x = -3 into the equation:
y - 5 = (-3)/3
Simplifying the equation:
y - 5 = -1
To find y, we add 5 to both sides of the equation:
y - 5 + 5 = -1 + 5
Simplifying the equation:
y = 4
Therefore, the second missing value is y = 4.
For the third missing value:
y - 5 = x/3
Since y is given as 8, we substitute y = 8 into the equation:
8 - 5 = x/3
Simplifying the equation:
3 = x/3
To find x, we multiply both sides of the equation by 3:
3 * 3 = x
Solving the multiplication:
9 = x
Therefore, the third missing value is x = 9.
To summarize, the missing values in the table are:
x y
-12 1
-3 4
0 -1
6 8
9 8
To fill in the missing values in the table, we need to substitute the given values of x into the equation and solve for y.
1. For the first missing value:
Substitute 1 for y in the equation: y - 5 = x/3
1 - 5 = x/3
-4 = x/3
Multiply both sides of the equation by 3 to solve for x:
-4 * 3 = x
-12 = x
So, the missing value in the table is x = -12.
2. For the second missing value:
Substitute 4 for y in the equation: y - 5 = x/3
4 - 5 = x/3
-1 = x/3
Multiply both sides of the equation by 3 to solve for x:
-1 * 3 = x
-3 = x
So, the missing value in the table is x = -3.
3. For the third missing value:
Substitute 0 for x in the equation: y - 5 = x/3
y - 5 = 0/3
y - 5 = 0
Add 5 to both sides of the equation to solve for y:
y = 0 + 5
y = 5
So, the missing value in the table is y = 5.
4. For the fourth missing value:
Substitute 6 for x in the equation: y - 5 = x/3
y - 5 = 6/3
y - 5 = 2
Add 5 to both sides of the equation to solve for y:
y = 2 + 5
y = 7
So, the missing value in the table is y = 7.
5. For the fifth missing value:
Substitute 8 for y in the equation: y - 5 = x/3
8 - 5 = x/3
3 = x/3
Multiply both sides of the equation by 3 to solve for x:
3 * 3 = x
9 = x
So, the missing value in the table is x = 9.
The filled-in table should look like this:
x y
-12 1
-3 4
0 5
6 7
9 8