Linear Equations Challenge

Graphically solve the following system of equations: y = 2x + 1 and y = -x + 3

• The solution to the system of equations y = 2x + 1 and y = -x + 3 is the point (1, 3).

• The solution to the system of equations is y = x + 2

• The solution to the system of equations is y = -2x + 3

• The solution to the system of equations is y = 3x + 1

Using the substitution method, find the solution to the system: 3x - 2y = 8 and 2x + y = 4

• {'x': 4, 'y': -1}

• {'x': 1, 'y': 2}

• {'x': 2, 'y': 0}

• {'x': 3, 'y': 1}

Apply the elimination method to solve the equations: 4x + 3y = 7 and 2x - y = 1

• The solution is x = 0, y = 1

• The solution is x = 2, y = 3

• The solution is x = 1, y = 4

• The solution is x = 3, y = 2

Solve the system of equations using any method: 5x + 2y = 11 and 3x - y = 2

• The solution is x = 4, y = 6

• The solution is x = 3, y = 7

• The solution is x = 2, y = 5

• The solution is x = 1, y = 3

Graph the equations y = 0.5x + 2 and y = -2x + 4. What is the solution to the system?

• x = 2, y = 3

• x = -1, y = -2

• x = 3, y = 4

• x = 1, y = 1

Find the solution to the system: x + y = 7 and 2x - y = 1 using the substitution method

• The solution to the system is x = 1 and y = 6.

• The solution to the system is x = 2 and y = 5.

• The solution to the system is x = 3 and y = 4.

• The solution to the system is x = 4 and y = 3.

Using the elimination method, solve the equations: 3x + 2y = 11 and 2x - 3y = 1

• x = 4, y = 1

• x = 3, y = 2

• x = 2, y = 3

• x = 5, y = 0

A sum of money is divided between two persons in the ratio 5:3. If the first person gets $25 more than the second, find the total sum of money.

• $72

• $50

• $110

• $96

A father is 4 times as old as his son. In 5 years, the father will be 3 times as old as his son. Find their current ages.

• Son's current age: 10 years, Father's current age: 40 years

• Son's current age: 3 years, Father's current age: 12 years

• Son's current age: 5 years, Father's current age: 20 years

• Son's current age: 8 years, Father's current age: 32 years

A boat travels 24 miles downstream in 3 hours and 12 miles upstream in 2 hours. Find the speed of the boat in still water and the speed of the current.

• {'boat_speed': 8, 'current_speed': 1}

• {'boat_speed': 6, 'current_speed': 3}

• {'boat_speed': 5, 'current_speed': 2}

• {'boat_speed': 7, 'current_speed': 1}