Is (8,2) a solution to this system of equations?

Question

x+y=10
6x+4y=19
yes or no

Answer 1

To determine if (8, 2) is a solution to the system of equations, we need to substitute x = 8 and y = 2 into both equations.

1. For the first equation $x+y=10$: $$8+2=10$$ This is true.

2. For the second equation $6x+4y=19$: $$6(8)+4(2)=48+8=56$$ This is not true since 56 does not equal 19.

Since (8, 2) does not satisfy the second equation, the answer is no.