The image you've uploaded contains problems from a chapter titled "Sistem Persamaan Linear dan Matriks" (Linear Systems and Matrices). Below is a breakdown of each question from the image:

Question 6:

• (a): "Tentukan persamaan linear dalam variabel $x$ dan $y$ yang memiliki solusi umum $x = 5 + 2t$, $y = t$."
  Translation: Determine the linear equation in variables $x$ and $y$ with the general solution $x = 5 + 2t$, $y = t$.

• (b): "Tunjukkan bahwa $x = t$, $y = \frac{1}{2} t - \frac{5}{2}$ juga merupakan solusi umum untuk persamaan $(x, y)$."
  Translation: Show that $x = t$, $y = \frac{1}{2} t - \frac{5}{2}$ is also a general solution for the equation in $(x, y)$.

Question 7:

• The question describes a quadratic curve $y = ax^2 + bx + c$ that passes through three points $(x_1, y_1), (x_2, y_2), (x_3, y_3)$, and asks to show that the coefficients $a$, $b$, and $c$ form the solution of the linear system represented by a 3x3 matrix: x_1^2 & x_1 & 1 \\ x_2^2 & x_2 & 1 \\ x_3^2 & x_3 & 1 \end{pmatrix} \begin{pmatrix} a \\ b \\ c \end{pmatrix} = \begin{pmatrix} y_1 \\ y_2 \\ y_3 \end{pmatrix}$$ *Translation*: Prove that the coefficients $$a$$, $$b$$, and $$c$$ are solutions of the linear system corresponding to the matrix.

Question 8:

• The system of equations is: x + y + 2z &= a \\ x + z &= b \\ 2x + y + 3z &= c \end{aligned}$$ You are asked to show that for this system to be consistent, the constants $$a$$, $$b$$, and $$c$$ must satisfy $$c = a + b$$.

Question 9:

• This question asks you to prove that if two linear equations $x_1 + kx_2 = c$ and $x_1 + lx_2 = d$ have the same solution set, then the two equations must be identical.