Is (-2, 6) a solution to the system of these linear equations: x + 2y =10 and 3x + y = 0? why?
A) no because the graph intersect at (-2,6)
B) yes because the graph does not intersect at(-2,6)
C) yes, because the graphs intersect at (-2,6)
D) no because the graphs don’t intersect at (-2,6)
C) yes, because the graphs intersect at (-2,6)
To check if a point is a solution to a system of linear equations, you substitute the values of x and y into each equation. In this case:
For equation 1:
(-2) + 2(6) = 10
-2 + 12 = 10
10 = 10 (true)
For equation 2:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0 (true)
Since the values satisfy both equations, (-2, 6) is a solution to the system of linear equations.