SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. Can you please help me to solve this equation y= -3x+19 y=2x-1

Algebra ->  Linear-equations -> SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. Can you please help me to solve this equation y= -3x+19 y=2x-1      Log On


   



Question 246572: Solve each system by substitution. Determine whether the
equations are independent, dependent, or inconsistent. Can you please help me to solve this equation
y= -3x+19
y=2x-1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system by substitution. Determine whether the
equations are independent, dependent, or inconsistent. Can you please help me to solve this equation
y=-3x+19
y=2x-1
-------------------
The slopes are different so the lines meet at a
point, so the system is consistent.
-----------------------------------
Substitute y = 2x-1 into the 1st equation and solve for "x:
2x-1 = -3x+19
5x = 20
x = 4
---------------
Since y = 2x-1, y = 2*4-1, y = 7
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Cheers,
Stan H.