Question

At what point do the graphs of the linear equation listed below intesent? 10x-3y=19. 5x+44=_7

Answer 1

To determine the point of intersection of the two equations, we first need to rewrite both equations in a standard form (if needed) and then solve them simultaneously.

Starting with the first equation:

1. **Equation 1:**
\[ 10x - 3y = 19 \]

2. **Equation 2:**
The second equation seems to have a typo. Let's assume you meant \( 5x + 44 = -7 \) and let's solve for \( y \):
\[ 5x + 44 = -7 \]
\[ 5x = -7 - 44 \]
\[ 5x = -51 \]
\[ x = -\frac{51}{5} \]

Now that we have \( x \), we substitute this value back into the first equation to find \( y \).

**Substituting into Equation 1:**
\[ 10\left(-\frac{51}{5}\right) - 3y = 19 \]
\[ -102 - 3y = 19 \]
\[ -3y = 19 + 102 \]
\[ -3y = 121 \]
\[ y = -\frac{121}{3} \]

So, the point of intersection of the two graphs is:

\[
\left(-\frac{51}{5}, -\frac{121}{3}\right)
\]

Please double-check the second equation for any potential typographical errors, as the original equation wasn't clear. If you meant something else, please clarify!