Use the equation y+4=3x to fill in the missing values in the table below
X -7 blank 0 blank
Y blank 8 blank -34
To fill in the missing values in the table, we can use the equation y + 4 = 3x.
1. For the first missing x value:
y + 4 = 3x
When x = -7,
y + 4 = 3(-7)
y + 4 = -21
y = -25
Therefore, the missing y value is -25.
2. For the second missing x value:
y + 4 = 3x
When x = 0,
y + 4 = 3(0)
y + 4 = 0
y = -4
Therefore, the missing y value is -4.
To fill in the missing values in the table, we can use the given equation y + 4 = 3x.
Let's start with the first missing value for X. We can solve for x when y = 8:
8 + 4 = 3x
12 = 3x
x = 12/3
x = 4
So, the missing value for X when Y = 8 is 4.
Next, let's move on to the second missing value for X. We can solve for x when y = -34:
-34 + 4 = 3x
-30 = 3x
x = -30/3
x = -10
Therefore, the missing value for X when Y = -34 is -10.
Now, let's move on to the missing value for Y when X = -7:
y + 4 = 3 * (-7)
y + 4 = -21
y = -21 - 4
y = -25
So, the missing value for Y when X = -7 is -25.
Lastly, for the missing value of Y when X = 0:
y + 4 = 3 * 0
y + 4 = 0
y = 0 - 4
y = -4
Therefore, the missing value for Y when X = 0 is -4.
The completed table is as follows:
X | -7 | 4 | 0 | -10
Y | -25 | 8 | -4 | -34
To fill in the missing values in the table, we can substitute the given equation y + 4 = 3x with the corresponding values of x.
Let's start with the missing x-value in the first row. Looking at the equation, we have y + 4 = 3x.
To solve for x, we need to isolate it. Subtract 4 from both sides of the equation:
y + 4 - 4 = 3x - 4
y = 3x - 4
Now, we can use this equation to find the missing x-value in the first row, where y = -7:
-7 = 3x - 4
To isolate x, add 4 to both sides of the equation:
-7 + 4 = 3x - 4 + 4
-3 = 3x
Divide both sides of the equation by 3:
-3/3 = (3x)/3
-1 = x
So the missing x-value in the first row is -1. Now let's move on to the missing y-value in the second row.
We can use the same equation, y = 3x - 4, to find the missing y-value when x = 0:
y = 3(0) - 4
y = -4
So the missing y-value in the second row is -4.
Next, let's find the missing x-value in the second row when y = 8:
8 = 3x - 4
8 + 4 = 3x
12 = 3x
x = 4
Finally, let's use the equation to find the missing y-value in the last row when x = -34:
y = 3(-34) - 4
y = -102 - 4
y = -106
So the missing y-value in the last row is -106.
Now the table should be filled as follows:
X -7 -1 0 4
Y -7 8 -4 -106