Question

solve.
\

$$\begin{cases} y = 3x - 7 \\\\ 15x - 5y = 14 \\end{cases}$$

use the substitution method.
\bigcirc the solution is (15, 5).
\bigcirc the solution is (0, 7).
\bigcirc there is no solution.
\bigcirc there are an infinite number of solutions.

Explanation:

Step1: Substitute $y=3x-7$ into second equation

Substitute $y = 3x - 7$ into $15x - 5y = 14$:
$15x - 5(3x - 7) = 14$

Step2: Expand and simplify the equation

$15x - 15x + 35 = 14$
$0x + 35 = 14$
$35 = 14$

Step3: Analyze the result

The simplified statement $35=14$ is false, meaning there is no set of $x$ and $y$ that satisfies both equations.

Answer:

There is no solution.