$$ 1 \leftarrow \begin{array}{l} ext { Solve the system of equations by the substitution method. } \ \begin{array}{l}x=7 y+4 \ x=8 y+4\end{array} \ ext { Select the correct choice below and, if necessary, fill in the answer box to complete your choice. } \ ext { A. The solution set is }\} \ ext { (Type an ordered pair) }\end{array} $$ B. There are infinitely many solutions C. There is no solution.

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$$ 1 \leftarrow \begin{array}{l}	ext { Solve the system of equations by the substitution method. } \ \begin{array}{l}x=7 y+4 \ x=8 y+4\end{array} \ 	ext { Select the correct choice below and, if necessary, fill in the answer box to complete your choice. } \ 	ext { A. The solution set is }\} \ 	ext { (Type an ordered pair) }\end{array} $$ B. There are infinitely many solutions C. There is no solution.

UpStudy AI · Accepted Answer

1. Write down the system of equations:
   $$
   \begin{aligned}
   x &= 7y + 4 \quad (1) \
   x &= 8y + 4 \quad (2)
   \end{aligned}
   $$

2. Since both (1) and (2) equal $$x$$, set them equal to each other:
   $$
   7y + 4 = 8y + 4
   $$

3. Subtract $$7y$$ from both sides:
   $$
   4 = y + 4
   $$

4. Subtract 4 from both sides:
   $$
   0 = y
   $$

5. Substitute $$y = 0$$ into one of the original equations to find $$x$$. Using equation (1):
   $$
   x = 7(0) + 4 = 4
   $$

6. The solution is the ordered pair:
   $$
   (4,0)
   $$

Thus, the correct choice is A. The solution set is $$\{(4,0)\}$$.
The solution is $$ (4, 0) $$.

B. There are infinitely many solutions
C. There is no solution.

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