SOLUTION: Solve using addition and multiplication principals. 5 + 4x < 21 The solution set is {x/x ??} Solve the following system of equation x + 4y = 2 (1) x = 7 -4y (2) What

Algebra ->  Finance -> SOLUTION: Solve using addition and multiplication principals. 5 + 4x < 21 The solution set is {x/x ??} Solve the following system of equation x + 4y = 2 (1) x = 7 -4y (2) What      Log On


   

Question 148484: Solve using addition and multiplication principals.
5 + 4x < 21
The solution set is {x/x ??}

Solve the following system of equation
x + 4y = 2 (1)
x = 7 -4y (2)
What is the soltution of the system?
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using addition and multiplication principals.
5 + 4x < 21
The solution set is {x/x ??}


5%2B4x%3C21 Start with the given inequality.


4x%3C21-5 Subtract 5 from both sides.


4x%3C16 Combine like terms on the right side.


x%3C%2816%29%2F%284%29 Divide both sides by 4 to isolate x.


x%3C4 Reduce.


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Answer:

So the answer is x%3C4


So the solution set is


Which in interval notation is



Solve the following system of equation
x + 4y = 2 (1)
x = 7 -4y (2)


Start with the given system
x%2B4y=2
x=7-4y



7-4y%2B4y=2 Plug in x=7-4y into the first equation. In other words, replace each x with 7-4y. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


7=2 Combine like terms on the left side


0=2-7Subtract 7 from both sides


0=-5 Combine like terms on the right side

Since this equation is never true for any y value, this means there are no solutions.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
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