Question

Solve using substitution.
-5x + 2y = 10
x = 2
(_,_)

Answer 1

To solve the system of equations using substitution, we start with the two equations given:

1. \(-5x + 2y = 10\)
2. \(x = 2\)

Since \(x\) is already isolated in the second equation, we can substitute \(x = 2\) into the first equation:

\[
-5(2) + 2y = 10
\]

Now, simplify this equation:

\[
-10 + 2y = 10
\]

Next, add 10 to both sides:

\[
2y = 20
\]

Now, divide both sides by 2:

\[
y = 10
\]

Now we have the values of \(x\) and \(y\):

\[
x = 2 \quad \text{and} \quad y = 10
\]

Thus, the solution as an ordered pair is:

\[
(2, 10)
\]

So the final answer is:

\[
(2, 10)
\]