Let's say that 5x + 2y + 3z = 10 is a line (that lives in a three dimensional space. When we let z = 0, the given line is projected on the xy-plane, and it will cut both x- and y-axis.
So the equation of the trace line is 5x + 2y = 10.
The line cut the x-axis at x = 2, and the y-axis at y = 5.
To find the xy-trace, set z = 0 in the equation -5x - 2y - 3z = 10. Simplifying, we get -5x - 2y = 10. This is the equation of the xy-trace for the given plane.
5x 2y = 10
12
An equation?
The equation is -2y + 16 = 10
To find the xy-trace, set z = 0 in the equation -5x - 2y - 3z = 10. Simplifying, we get -5x - 2y = 10. This is the equation of the xy-trace for the given plane.
5x 2y = 10
-5x-2y=10
12
10
An equation?
The equation is -2y + 16 = 10
If a statement includes an "equals" sign ( = ) then the statement is an equation. By the way . . . it may or may not be a true statement. "10 equals 120" is not true.
That word "equals" in there makes it an equation.
x = sqrt 100
an equation
An equation where c = 5