4) is $$ (4,8) $$ a solution to this system of equations? $$ \begin{array}{l}17 x-4 y=15 \ 15 x-7 y=4\end{array} $$ (1) yes no

Question

UpStudy AI · Accepted Answer

To determine if $$(4, 8)$$ is a solution to the system of equations:

$$
\begin{cases}
17x - 4y = 15 \
15x - 7y = 4
\end{cases}
$$

**Substitute $$x = 4$$ and $$y = 8$$ into each equation:**

1. **First Equation:**
   $$
   17(4) - 4(8) = 68 - 32 = 36 \neq 15
   $$
   The first equation is **not** satisfied.

2. **Second Equation:**
   $$
   15(4) - 7(8) = 60 - 56 = 4 = 4
   $$
   The second equation **is** satisfied.

Since $$(4, 8)$$ does **not** satisfy **both** equations, it is **not** a solution to the system.

**Answer:** No.
$$(4, 8)$$ is not a solution to the system of equations.

4) is \( (4,8) \) a solution to this system of equations? \( \begin{array}{l}17 x-4 y=15 \\ 15 x-7 y=4\end{array} \) (1) yes no