Determine whether $(1,2)$ is a solution of the system:
\[
\begin{aligned}
-2 x-3 y & =3 \\
3 x-5 y & =-10
\end{aligned}
\]
Is $(1,2)$ a solution of the system? Choose the correct answer below.
Yes
No

Answer

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Answer

$\boxed{\text{No, (1,2) is not a solution of the system.}}$

Steps

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

Step 2 ：Substitute $x=1$ and $y=2$ into the first equation, we get $-2(1)-3(2) = -8$.

Step 3 ：Substitute $x=1$ and $y=2$ into the second equation, we get $3(1)-5(2) = -7$.

Step 4 ：The result of substituting $x=1$ and $y=2$ into both equations does not satisfy the equations.

Step 5 ：$\boxed{\text{No, (1,2) is not a solution of the system.}}$

Determine whether $(1,2)$ is a solution of the system:\[\begin{aligned}-2 x-3 y & =3 \\3 x-5 y & =-10\end{aligned}\]Is $(1,2)$ a solution of the system? Choose the correct answer below.YesNo

Answer

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Determine whether $(1,2)$ is a solution of the system:
\[
\begin{aligned}
-2 x-3 y & =3 \\
3 x-5 y & =-10
\end{aligned}
\]
Is $(1,2)$ a solution of the system? Choose the correct answer below.
Yes
No