Write three solutions for 2x+y = 7 (a linear eq. in two variables). Plot themand verify they lie on a line

Sure, here are three solutions for the equation 2x + y = 7:

1. Let's choose x = 0. Substituting x = 0 into the equation, we get 2*0 + y = 7, which simplifies to y = 7. So, one solution is (0, 7).

2. Now, let's choose x = 1. Substituting x = 1 into the equation, we get 2*1 + y = 7, which simplifies to y = 5. So, another solution is (1, 5).

3. Finally, let's choose x = 2. Substituting x = 2 into the equation, we get 2*2 + y = 7, which simplifies to y = 3. So, the third solution is (2, 3).

To plot these points, you would create a graph with an x-axis and a y-axis. Plot the points (0, 7), (1, 5), and (2, 3) on the graph.

To verify that these points lie on a line, you would draw a line through the points. If all three points lie on the same line, then they are solutions to the equation.

Please note that you would need graph paper or a graphing tool to actually draw the graph and line.