1. **Problem:** Solve the system using substitution for part (a):
$$\ell_1: y = 3x - 4$$
$$\ell_2: x + y = 8$$
2. **Formula and method:** Substitution involves replacing one variable in one equation with an expression from the other equation.
3. **Step 1:** From $$\ell_1$$, we have $$y = 3x - 4$$.
4. **Step 2:** Substitute $$y$$ in $$\ell_2$$:
$$x + (3x - 4) = 8$$
5. **Step 3:** Simplify and solve for $$x$$:
$$x + 3x - 4 = 8$$
$$4x - 4 = 8$$
$$4x = 12$$
$$x = 3$$
6. **Step 4:** Substitute $$x = 3$$ back into $$y = 3x - 4$$:
$$y = 3(3) - 4 = 9 - 4 = 5$$
7. **Step 5:** Check the solution in $$\ell_2$$:
$$x + y = 3 + 5 = 8$$ which is true.
**Final answer:** $$\boxed{(3, 5)}$$
Linear Substitution 018D08
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