Solutions to System of Equations

Lesson 3 Writing Systems of Equations

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Multiple Choice

$$-7x+y=-19$$  

$$-2x+3y=-19$$  

Solve the system of equations using a method of your choice.

• (-19,-19)

• (2,-5)

• (-7, -2)

• (-2,5)

Multiple Choice

$$-4x+9y+9$$  
$$x-3y=-6$$  

Solve the system of equations using a method of your choice.

• (9, -6)

• (-4, 9)

• (9,5)

• (5, 9)

Multiple Choice

$$8x+y=-16$$  

$$-2x+y=-5$$  

Solve the system of equations using a method of your choice.

• (-1, -8)

• ( -16, -5)

• (8, -2)

• (1, 8)

Multiple Select

$$2x+y=19$$  
$$x-y=11$$  

Solve each system of equations using a method of your choice.

• (10,1)

• (11, 19)

• (10, -1)

• (2,0)

Multiple Choice

$$\frac{3}{7}\times\frac{8}{21}$$  

Multiply. Reduce your answers but leave as improper fractions where applicable.

• $$\frac{24}{147}$$  

• $$\frac{8}{49}$$  

• $$\frac{1}{6}$$  

Multiple Choice

$$\frac{5}{4}\times\frac{2}{9}$$  

Multiply. Reduce your answers but leave as improper fractions where applicable.

• $$\frac{23}{55}$$  

• $$\frac{10}{36}$$  

• $$\frac{5}{10}$$  

• $$\frac{33}{100}$$  

Multiple Choice

$$\frac{4}{7}\times\frac{7}{10}$$

 Multiply. Reduce your answers but leave as improper fractions where applicable.

• 1

• $$\frac{28}{70}$$  

• $$\frac{2}{5}$$  

Multiple Choice

$$\frac{3}{4}\times\frac{2}{9}$$  

Multiply. Reduce your answers but leave as improper fractions where applicable.

• $$\frac{2}{12}$$  

• $$\frac{6}{36}$$  

• $$\frac{6}{45}$$  

• $$\frac{1}{6}$$  

Multiple Choice

$$\frac{4}{7}+\frac{8}{21}$$
 Add. Reduce your answers but leave as improper fractions where applicable.

• $$\frac{8}{21}$$  

• $$\frac{12}{28}$$  

• $$1$$  

• $$\frac{20}{21}$$  

Multiple Choice

$$\frac{2}{3}+\frac{1}{4}$$  

Add. Reduce your answers but leave as improper fractions where applicable.

• $$\frac{3}{12}$$  

• $$\frac{12}{11}$$  

• $$\frac{11}{12}$$  

• $$\frac{8}{12}$$  

Multiple Choice

$$\frac{3}{5}+\frac{7}{10}$$  

Add. Reduce your answers but leave as improper fractions where applicable.

• 1/3

• 13/10

• 10/13

• 6/10

Multiple Select

Graph the following equations by finding the x-intercept and the y-intercept.

−2x + 7y = −14

• y-intercept: (7, 0 )

• x-intercept: (23, 5)

• x-intercept: (7,0)

• y-intercept: ( 0, -2)

Multiple Select

Graph the following equations by finding the x-intercept and the y-intercept.

6x + 2y = 18

• x-intercept: ( 0, 3 )

• y-intercept: (9, 0)

• y-intercept: ( 0, 9)

• x-intercept: (3, 0)

Multiple Select

Graph the following equations by finding the x-intercept and the y-intercept.

3x − 6y = 24

• x-intercept: ( 8, 0)

• x-intercept: ( 0, -4)

• y-intercept: (0, -4)

• y-intercept: (8,0)

Multiple Select

Graph the following equations by finding the x-intercept and the y-intercept.

6x+2y=18

• x-intercept: (2, 0)

• x-intercept: (0, -5)

• y-intercept: (2,0)

• y-intercept: (0, -5)

Multiple Choice

Three points are given. Each point is a solution to at least one of the equations. Just one point satisfies both equations. Find and justify which point is a solution to both equations. $$x+y=-5$$  
$$y=2x+4$$  

• (1,6)

• (-3, 2)

• (-3, -2)

Multiple Choice

Three points are given. Each point is a solution to at least one of the equations. Just one point satisfies both equations. Find and justify which point is a solution to both equations.
$$y=2$$  
$$y=-4x-6$$  

• (7, 2)

• (-2,2)

• (2, -14)

Multiple Choice

Three points are given. Each point is a solution to at least one of the equations. Just one point satisfies both equations. Find and justify which point is a solution to both equations.
$$y=3x+3$$  
$$y=-x+3$$  

• (6,-3)

• (0,3)

• (-1,0)

Multiple Choice

Three points are given. Each point is a solution to at least one of the equations. Just one point satisfies both equations. Find and justify which point is a solution to both equations.
$$y=-x+3$$  
$$y=2x-3$$  

• (4,5)

• (-2,5)

• (2,1)