-18 X + Y = 8 ........ 1
-3 X - Y = -2 ........ 2
Summing eq 1 and 2
- 21 X = 6 or X = - 6/21 or -2/7
Multiply eq 2 by 6 and subtract 2 from 1
7 Y = 20 or Y = 20/7
Accordingly, the two equations intersect at point: X = -2/7 and Y = 20/7
No, equations with the same slope do not intersect unless they are the same 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..
None. When these two equations are graphed, the two lines are parallel. Since they never intersect, there is no point that satisfies both equations.
By graphing the lines on the coordinated plane they will intersect at (2, -4) which is the solution of the equations
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
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).
Another straight line equation is needed such that both simultaneous equations will intersect at one point.
x = 3 and y = 2 so the lines intersect at the point (3, 2)
They intersect at points (-2/3, 19/9) and (3/2, 5) Solved by combining the two equations together to equal nought and then using the quadratic equation formula to find the values of x and substituting these values into the equations to find the values of y.
-2
first get both your equations into standard form... x + 2y = 9 (equation 1) x + 2y = 13 (equation 2) multiply equation 1 by (-1) -x - 2y = -9 x + 2y = 13 add the equations together 0 + 0 = 4 0 = 4 since the equations dont equal out then these equations do not intersect and are therefore parallel. PARALLEL is your answer
Solving the simultaneous equations works out as x = -2 and y = -2 So the lines intersect at: (-2, -2)