Solution Found!
For the equations x + y = 4, 2x 2y = 4, draw the row picture (two intersecting lines)
Chapter 1, Problem 1.2.1(choose chapter or problem)
For the equations \(x+y=4,2 x-2 y=4\), draw the row picture (two intersecting lines) and the column picture (combination of two columns equal to the column vector (4,4) on the right side).
Questions & Answers
QUESTION:
For the equations \(x+y=4,2 x-2 y=4\), draw the row picture (two intersecting lines) and the column picture (combination of two columns equal to the column vector (4,4) on the right side).
ANSWER:Step 1 of 2
Consider the following equations:
\(\begin{array}{l}
x+y=4 \\
2 x-2 y=4
\end{array}\)
The equation \(x+y=4\) represented by a straight line line in the \(x-y\) plane.the line goes through the points \(x=2, y=2\) and \(x=4, y=0 \text {. }\)
The second equation \(2 x-2 y=4\) is also represented by a straight line in the \(x-y\) plane.
This line goes through the points \(x=0, y=-2\) and it crosses the first line at the solution.
Draw the row picture and the column picture of the equations \(x+y=42 x-2 y=4 \text {. }\)
The required diagram is shown as follows
The two lines are intersecting at the point (3, 1)