Respuesta :
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)