Question

Does the graph (-2, 6) intersect at x+2y=10 and 3x+y=0

Answer 1

To determine if the point (-2, 6) lies on the graphs of the equations x + 2y = 10 and 3x + y = 0, we can substitute the x and y values of the point into each equation and check if the equation is satisfied.

For the equation x + 2y = 10:
(-2) + 2(6) = 10
-2 + 12 = 10
10 = 10

The equation is satisfied for the first equation.

For the equation 3x + y = 0:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0

The equation is also satisfied for the second equation.

Therefore, the point (-2, 6) satisfies both equations and thus intersects both graphs.