if y=3x+7

how do you finish the t-table for linear equation?

X y
-3 blank
blank 4

The only t table I know about is the statistical t and that doesn't fit a pre-algebra problem. So I assume you mean to substitute -3 for x and you want to know y. Then substitute 4 for y and you want to know x.

If so,
y = 3x+7
y = 3(-3)+7
y = -9+7
y = -2
etc. Check my work.

(5x+9y)(5x-9y)

To complete the table for the linear equation y = 3x + 7, you need to substitute the given x-values into the equation to find the corresponding y-values.

Starting with the given x-value, -3:

1. Substitute -3 into the equation:
y = 3(-3) + 7
y = -9 + 7
y = -2

So, for x = -3, y = -2.

Next, move on to the next given y-value, which is 4:

2. Substitute the unknown x-value into the equation:
4 = 3x + 7

To solve for x, you first need to isolate the x-term by subtracting 7 from both sides of the equation:

4 - 7 = 3x + 7 - 7
-3 = 3x

Next, divide both sides of the equation by 3 to solve for x:

-3/3 = 3x/3
-1 = x

So, for y = 4, x = -1.

By substituting the given x-values into the equation, you have completed the t-table:

X y
-3 -2
-1 4