Answer:
For a unique solution, there must be as many consistent, independent equations as there are variables.
Step-by-step explanation:
Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.
After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.
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If the equations are inconsistent, there is no solution. If the equations are dependent, then there is no unique solution.
different amounts of ham and cheese he can buy.
Help me please ?
Answer:
can you show the answers?
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
1. x = 66
2. C
3. C. 2000
Step-by-step explanation:
1. The first question is x = 66 because to get rid on the fraction you multiply both sides by 4. This leaves you with x + 2 = 68 (minus 2 on both sides) this gives you x = 66.
2. C. Commutative
3. 2000
Plug in
125 = (5)(.0125)(2000)
125 = 125
Hope this helps ya!!
12 and 18
10 and 20
8 and 14
Answer:
Find out the numbers .
To prove
Let us assume that one number be x.
Let us assume that second number be y.
As given
The sum of two numbers is 30.
Than the equation becomes
x + y = 30
Their difference is 6.
x - y = 6
Thus two equation are .
x + y = 30 and x - y = 6
Subtracted x - y = 6 from x + y = 30
x - x + y - (-y) = 30 - 6
y + y = 24
2y = 24
y = 12
Put in the x - y = 6
x - 12 = 6
x = 6 + 12
x = 18
Therefore the two numbers are 12 and 18 .