Is (2,1) a solution to this system of equations?

Question

8x+7y=11
x+y=3
yes or no

Answer 1

To determine if (2, 1) is a solution to the system of equations, we need to substitute $x=2$ and $y=1$ into both equations.

1. Check the first equation: $8x+7y=11$ $$8(2)+7(1)=16+7=23\text{(not equal to 11)}$$

2. Check the second equation: $x+y=3$ $$2+1=3\text{(equals 3)}$$

Since (2, 1) does not satisfy the first equation, it is not a solution to the system of equations.

Answer: No