QuestionSolve the system of linear equations by substitution. $$\begin{array}{l} y=x-7 \\ 2 x+3 y=14 \end{array}$$
If there are an infinite number of solutions, enter IS in each answer field. If there are no solutions, enter NS in each answer $$x=$$ $\square$ $$y=$$ $\square$

Studdy Solution
Verify the solution by substituting $x = 7$ and $y = 0$ back into both original equations.
First equation: $y = x - 7$ $$0 = 7 - 7$$ $$0 = 0 \quad \text{(True)}$$
Second equation: $2x + 3y = 14$ $$2(7) + 3(0) = 14$$ $$14 + 0 = 14$$ $$14 = 14 \quad \text{(True)}$$
Since both equations are satisfied, the solution is confirmed.
The solution to the system of equations is:
$$x = 7$$ $$y = 0$$