in exercises 1 through 10, find all solutions of the linear systems using elimination.Then check your solutions
The solution of system of equations is
To get the solution, we will transform the value of .
Into the form
In the given system of equations, we can eliminate the variables by adding or subtracting the equations.
In this system, we can eliminate the variable xfrom first equation. First of all multiply the first equation by 2.
Now subtract the first equation from the second equation.
Now put the value of y which is in first equation to the second equation.
Now check the solution by putting the value of x and y in the given system of equation.
Hence, the solution of the given system is
Balancing a chemical reaction. Consider the chemical reaction
where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same,
While there are many possible values for and d that balance the reaction, it is customary to use the smallest possible positive integers. Balance this reaction.
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