SOLUTION: 1.A system of linear equations is solved by substitution and results in the equation 0 = 0. This means that the equation has NO solution. TRUE OR FALSE 2.A set of twenty-five

Algebra.Com
Question 1000030: 1.A system of linear equations is solved by substitution and results in the equation 0 = 0. This means that the equation has NO solution.
TRUE OR FALSE

2.A set of twenty-five coins, whose value is P113, consists of 1-peso coins, 5-peso coins and 10-peso coins. If the 1-peso coins were 5-peso coins, the 5-peso coins were 10-peso coins,and the 10-peso coins were 1-peso coins, the total value is also P113. How many 1-peso coins are in the set?

Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
1. The answer is FALSE.


2. Let x = the number of 1-peso coins, 
       y = the number of 5-peso coins, and
       z = the number of 10-peso coins.

Then you have the system of 3 equations with 3 unknowns

 x +    y +   z = 25
 x +   5y + 10z = 113,
5x +  10y +   z = 113.

Could you solve this system yourself?

--------------------------------------------------------------------
Comment from student: X=13,Y=4 AND Z=8 DID I GET IT RIGHT :) ?
--------------------------------------------------------------------

Response: Absolutely right. Good job!


RELATED QUESTIONS

Could someone please help me solve this question: Solve the following system of two... (answered by stanbon)
If the system of equations given below is solved using the substitution method, what is... (answered by vleith)
What is the slope m and y-intercept point of the line y = 2x + 1? slope m = 2... (answered by oberobic)
write a system of linear equations that has a solution of (-2, 5) and is best solved by... (answered by Alan3354)
You solved a linear system and got the equation -6 = 0. How many solutions does the... (answered by rothauserc,Theo)
Whats an example of a system of equation that is more easily solved by substitution, and... (answered by fractalier)
The augmented matrices for three separate systems of linear equations in the variables... (answered by stanbon)
The solution for a system of two linear equations is (0, 0). Which equation below could... (answered by ewatrrr)
Solve the system of linear equations by substitution. Check your solution. 4x + 2y =... (answered by addingup)