Question

solve with substitution and within an ordered pair;

y= 5.8x+15.24
y= -2x-2.7

Answer 1

To solve the system of equations using substitution, we have:

1. \( y = 5.8x + 15.24 \)
2. \( y = -2x - 2.7 \)

Since both equations equal \( y \), we can set them equal to each other:

\[
5.8x + 15.24 = -2x - 2.7
\]

Now, let's solve for \( x \):

1. Add \( 2x \) to both sides:
\[
5.8x + 2x + 15.24 = -2.7
\]
\[
7.8x + 15.24 = -2.7
\]

2. Subtract \( 15.24 \) from both sides:
\[
7.8x = -2.7 - 15.24
\]
\[
7.8x = -17.94
\]

3. Now, divide by \( 7.8 \):
\[
x = \frac{-17.94}{7.8} \approx -2.3
\]

Now that we have \( x \), substitute it back into one of the original equations to find \( y \). We will use the first equation:

\[
y = 5.8(-2.3) + 15.24
\]
\[
y = -13.34 + 15.24
\]
\[
y = 1.9
\]

Thus, the ordered pair solution where the two lines intersect is:

\[
\boxed{(-2.3, 1.9)}
\]