Which expression is equivalent to -6 (3x - 2/3)
1 answer:
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Answer:
The point P(1,-3) is not a solution to the system.
Step-by-step explanation:
Given
Let a point be P(1,-3)
Here x = 1 ; y = -3
Substituting the values of x,y in the function
For y<x-1
-3 < 1-1
-3<0 (True)
now for,
y>-x+2
-3 > -1 + 2
-3 > 1 (False)
Hence the point is not a solution to the system.
This is a problem of system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:
<span>Alice has 5 dimes and 7 nickels. </span>
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:
<span>Alice has 5 dimes and 7 nickels. </span>