Copy of SAT Math Weekly Assessment (jan 31 25)

\[ 21x \quad – \quad 6y \quad = 54 \\ 9 \quad + \quad y \quad = 3.5x\]

The system of equations shown above has how many solutions?

\[ 6x \quad +\quad 3y \quad = 18 \\ qx \quad – \quad \frac{y}{3} \quad = -2\]

In the system of linear equation above, q is a constant. if the system has infinity many solutions, what is the value of q 

\[ hx \quad – \quad 4y \quad = -10 \\ kx \quad + \quad 3y \quad = -15\]

If the graphs of the lines in the system of equations above intersect at (-3, 1), what is the value of \(\frac{k}{h}\)?  

What is the y-coordinate of the solution to the system shown above ? 

\[ 3x \quad – \quad 9y \quad = -6 \\ \frac{1}{2}x \quad – \quad \frac{3}{2}y \quad = c\]

If the system of linear equations above has infinitely many solution, and c is a constant, what is the value of c ?