Question

solve with substitution and within an ordered pair;

x+2y=-10
x=-4y

and ordered pair.

Answer 1

To solve the system of equations using substitution, we will first substitute the expression for \( x \) from the second equation into the first equation.

The equations are:

1. \( x + 2y = -10 \)
2. \( x = -4y \)

Now substitute \( x \) from the second equation into the first:

\[
-4y + 2y = -10
\]

Combine like terms:

\[
-2y = -10
\]

Now, divide both sides by -2:

\[
y = 5
\]

Next, substitute \( y = 5 \) back into the second equation to find \( x \):

\[
x = -4(5) = -20
\]

So, we have found the values of \( x \) and \( y \):

\[
x = -20 \quad \text{and} \quad y = 5
\]

The ordered pair that is the solution to the system of equations is:

\[
(-20, 5)
\]

Thus, the solution is \( (-20, 5) \).