- #1
lorik
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Homework Statement
I need to find a,b,c from
a+b-c=0.1
2a-b-c=0
a+b+c=0.3
Homework Equations
The Attempt at a Solution
The furthest I've gone is
a+b+c=0.1
3a=0.3=>0.1
NOW PLEASE HELP ME HOW TO SOLVE FOR B AND C ?
You lost your variable! 3a = .3 ==> a = .1lorik said:Homework Statement
I need to find a,b,c from
a+b-c=0.1
2a-b-c=0
a+b+c=0.3
Homework Equations
The Attempt at a Solution
The furthest I've gone is
a+b+c=0.1
3a=0.3=>0.1
lorik said:NOW PLEASE HELP ME HOW TO SOLVE FOR B AND C ?
Solving a system of equations means finding the values of all the variables that make both equations true at the same time. In other words, it is finding the point of intersection between the two lines represented by the equations.
To solve a system of equations by elimination, you need to eliminate one of the variables by adding or subtracting the two equations. This will result in a new equation with only one variable, which you can then solve for. Once you have the value for one variable, you can substitute it into one of the original equations to find the value of the other variable.
A consistent system of equations has at least one solution, meaning the two lines intersect at one point. An inconsistent system of equations has no solution, meaning the two lines are parallel and do not intersect.
Yes, substitution can also be used to solve a system of equations. In this method, you solve one equation for one variable and then substitute that value into the other equation. This will result in an equation with only one variable, which you can then solve for.
Yes, there are other methods such as graphing or using matrices to solve a system of equations. However, the most efficient method depends on the specific equations and the number of variables involved.