Question

Determine if (6, 2) is a solution to the system of equations.
2x + y = 10
3x + 2y = 10

Answer 1

no

Explanation:

plug 6 in for x and 2 in for y, as (x, y) = (6, 2)

first equation:

y = 1 * y

2(6) + 1(2) = 10

12 + 2 = 10

14 = 10

this is false

second equation:

3(6) + 2(2) = 10

18 + 4 = 10

22 = 10

this is false

for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution