Question

is (1,1) a soution to this system of equation
8x+y=96
x+12y=18

Answer 1

To determine if \((1,1)\) is a solution to the system of equations given by

1. \(8x + y = 96\)
2. \(x + 12y = 18\),

we will substitute \(x = 1\) and \(y = 1\) into both equations.

**Check the first equation:**

\[
8(1) + 1 = 96
\]
\[
8 + 1 = 96
\]
\[
9 \neq 96 \quad \text{(False)}
\]

**Check the second equation:**

\[
1 + 12(1) = 18
\]
\[
1 + 12 = 18
\]
\[
13 \neq 18 \quad \text{(False)}
\]

Since \((1, 1)\) does not satisfy either equation, \((1, 1)\) is **not** a solution to the system of equations.