A linear equation in two variables is an equation that can be written in the form ▼(Choose one) where

A
and
B
are not both zero.

5 answers

Let's choose the correct option.

A linear equation in two variables can be written in the form of Ax + By = C, where A and B are not both zero.
Graph the line
=y−2
.
To graph the line y - 2 = 0, we can rewrite it as y = 2.

Since this is a linear equation with only one variable (y), the graph will be a straight line.

To plot the line, we can start by choosing any two points on the line and drawing a line through them.

Let's choose the points (0, 2) and (2, 2):

When x = 0, y = 2
When x = 2, y = 2

So the points (0, 2) and (2, 2) lie on the line.

We can now plot these points on a coordinate plane and draw a line through them:

| |
---|---|---
| ● |
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| ● |
| |
0 2

The line will be a horizontal line passing through the y-axis at y = 2.
8=3/8(7)+2
To simplify the equation 8 = (3/8)(7) + 2, we can start by evaluating the right side of the equation.

First, let's calculate (3/8)(7):

(3/8)(7) = (3 * 7) / 8 = 21/8

Now let's substitute this value back into the original equation:

8 = 21/8 + 2

Next, we need to find a common denominator to add the fractions together. The common denominator in this case is 8.

Converting 2 to have a denominator of 8 gives us:

8/1 = 21/8 + 16/8

Now we can add the fractions:

8/1 = (21 + 16) / 8

Simplifying the numerator gives us:

8/1 = 37/8

So the equation simplifies to 8 = 37/8.