Unit Review: Systems of equations

U.1Is the ordered pair a solution of the system? Write yes or no.

1. 1
   $(3,-2)$; $\{\begin{array}{l}2x-3y=12\\ 6x-5y=28\end{array}$ 
2. 2
   $(0,-5)$; $\{\begin{array}{l}3x+5y=-25\\ 2x-3y=15\end{array}$ 

U.2Use the graph to solve each system.

1. 3
   $\{\begin{array}{l}y=2x-2\\ y=-4x+4\end{array}$ 
2. 4
   $\{\begin{array}{l}y=3x-5\\ y=-2x+5\end{array}$ 

U.3Solve each system by substitution.

1. 5
   $\{\begin{array}{l}y=4x-3\\ 5x+4y=-12\end{array}$
2. 6
   $\{\begin{array}{l}y=4x+1\\ x+3y=16\end{array}$

U.4Solve each system by elimination.

1. 7
   $\{\begin{array}{l}8x-5y=-26\\ 2x+5y=-44\end{array}$
2. 8
   $\{\begin{array}{l}5x+5y=-30\\ 4x+5y=-27\end{array}$

U.5Write one solution, no solution, or infinitely many solutions.

1. 9
   $\{\begin{array}{l}y=-5x-24\\ 10x+2y=-51\end{array}$
2. 10
   $\{\begin{array}{l}4x+y=-8\\ 12x+3y=-24\end{array}$

U.6Write a system of equations and solve it.

1. 11
   A jar holds $30$ coins, all dimes and quarters, worth $\text{\$}4.95$ in all. How many of each coin are there?
2. 12
   A jar holds $16$ coins, all dimes and quarters, worth $\text{\$}2.05$ in all. How many of each coin are there?

U.7Solve each system, or write how many solutions it has.

1. 13
   $\{\begin{array}{l}3x-4y=-15\\ 4x-4y=-20\end{array}$
2. 14
   $\{\begin{array}{l}2x-2y=-6\\ 5x-2y=-15\end{array}$

U.1Is the Point a Solution of the System?

1. 1yes
2. 2yes

U.2Solve Systems by Graphing

1. 3$(1,0)$
2. 4$(2,1)$

U.3Solve Systems by Substitution

1. 5$(0,-3)$
2. 6$(1,5)$

U.4Solve Systems by Elimination

1. 7$(-7,-6)$
2. 8$(-3,-3)$

U.5Number of Solutions of a System

1. 9no solution
2. 10infinitely many solutions

U.6Systems of Equations Word Problems

1. 1117 dimes, 13 quarters
2. 1213 dimes, 3 quarters

U.7Systems of Equations Review

1. 13$(-5,0)$
2. 14$(-3,0)$