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A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Respuesta :

semsee45

Answer:

A) see step-by-step

B) (2, 3)

Step-by-step explanation:

Part A

Plot the two linear equations. The point at which they intersect is the solution to the system.

y = 2x - 1

  • slope = 2  (for every 1 unit across, go 2 units up)
  • y-intercept = (0, -1)

y = 4x - 5

  • slope = 4 (for every 1 unit across, go 4 units up)
  • y-intercept = (0, -5)

Part B

see attached diagram

To solve algebraically:

equate the equations and solve for x:

⇒ 2x - 1 = 4x - 5

⇒ -2x = -4

⇒ x = 2

Substitute found value for x into one of the equations and solve for y:

⇒ 2(2)- 1 = 3

Therefore, solution is (2, 3)

Ver imagen semsee45

We will use graphical method

  • y=2x-1
  • y=4x-5

Graph attached

Solution is (2,3)

Ver imagen Аноним

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