System of Linear Equations — Basic Algebra

Questions in this quiz (8)

1. Solve the system of equations by substitution. $$ \begin{cases} 4x+y=9\\ 2x-y=3 \end{cases} $$

   • $$(2,1)$$

2. Solve the system of equations. $$ \begin{cases} y=2x-7\\ x+y=8 \end{cases} $$

   • $$(5,3)$$

3. Solve the system of equations. $$ \begin{cases} 3x+6y=18\\ y=-2x+5 \end{cases} $$

   • $$\left(\frac{4}{3},\frac{7}{3}\right)$$

4. Where does the line with the equation: $$2x+y=8$$ intersect with the line having the equation: $$3x-y=2?$$

   • $$(2,4)$$
   • $$(1,6)$$
   • $$(3,2)$$
   • $$(4,0)$$

5. Where does the line with the equation: $$y=3$$ intersect with the line having the equation: $$2y=x+5?$$

   • $$(1,3)$$
   • $$(2,3)$$
   • $$(3,3)$$
   • $$(4,3)$$

6. Where does the line with the equation: $$y=-x$$ intersect with the line having the equation: $$y=x+4?$$

   • $$(-2,2)$$
   • $$(2,-2)$$
   • $$(0,4)$$
   • $$(-4,0)$$

7. Where does the line with the equation: $$x=5$$ intersect with the line having the equation: $$2y=x-1?$$

   • $$(5,2)$$
   • $$(5,3)$$
   • $$(5,4)$$
   • $$(4,2)$$

8. Which of the following is an equation of a line that intersects the line: $$y=-3x+4$$ at exactly one point?

   • $$2y=-6x+8$$
   • $$y=-3x-2$$
   • $$y=3x+1$$
   • $$\frac{1}{2}y=\frac{3}{2}x+2$$