The equation ( x + y = 6 ) represents a line with a slope of -1 that intersects the y-axis at (0, 6) and the x-axis at (6, 0). The equation ( x - y = 6 ) represents a line with a slope of 1 that intersects the y-axis at (-6, 0) and the x-axis at (6, 0). These two lines intersect at the point (6, 0) and are perpendicular to each other.
The system of equations 3x - 6y = 20 and 2x - 4y = 3 is inconsistent. This is because the second equation can be derived from the first by multiplying by a factor, but the constants on the right side do not match, indicating that the lines represented by these equations are parallel and do not intersect. Therefore, there is no solution to the system.
If: x-y = 4 and x-3y = 4 Then by solving the simultaneous equations: x = 4 and y = 0 So the lines intersect at (4, 0) which will be a vertical straight line
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
x = 4 and y = 7 which will satisfy both equations
(4, -7)
The system of equations 3x - 6y = 20 and 2x - 4y = 3 is inconsistent. This is because the second equation can be derived from the first by multiplying by a factor, but the constants on the right side do not match, indicating that the lines represented by these equations are parallel and do not intersect. Therefore, there is no solution to the system.
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If: x-y = 4 and x-3y = 4 Then by solving the simultaneous equations: x = 4 and y = 0 So the lines intersect at (4, 0) which will be a vertical straight line
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
+ (plus) - (minus) / (divide) * (multiply) ^ (power) = (equals)
x = 4 and y = 7 which will satisfy both equations
{-1,-2}
No.
They are identities because they are true for ALL values of w and x.
(4, -7)
The lines are perpendicular.
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