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The first equation translates to y = -x +10, so when y = 0, x = 10 and when x = 0, y = 10. Hence draw the x and y axes and mark the point (10, 0) and (0, 10). Draw a line connecting these two points. This is the first line. It is a line of the form
y = mx + c where m = -1 and c = 10, the line makes 135 degrees with the x axis.
The second equation translates to y = x - 6, so when y = 0, x = 6 and when x = 0, y = -6. Hence draw the x and y axes and mark the point (6, 0) and (0, -6). Draw a line connecting these two points. This is the second line. It is a line of the form
y = mx + c where m = 1 and c = -6, the line makes 45 degrees with the x axis.
Solving both equation we get x = 8 and y = 2, which means that the two line intersect at this point.
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
They are parallel.
The lines are parallel.
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
Those two statements are linear equations, not lines. If the equations are graphed, each one produces a straight line. The lines intersect at the point (-1, -2).
The two equations represent the same straight line.
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
They are parallel.
The lines are parallel.
x=3
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
Those two statements are linear equations, not lines. If the equations are graphed, each one produces a straight line. The lines intersect at the point (-1, -2).
If you mean 3x+2y = -5 and -2x+3y = -5 then they are straight line equations
None. When these two equations are graphed, the two lines are parallel. Since they never intersect, there is no point that satisfies both equations.
These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the answer is - (not are) : (-1, 3).
These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the answer is - not are : (3, 0).
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