What is the most efficient first step to isolate the variable term on one side of this equation?
1 answer:
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Adding both equations will eliminate a variable in the system of equations
Step-by-step explanation:
Given equations are:
One of the methods to solve simultaneous linear equations is elimination. In elimination one of the variables is eliminated from the system to find the value of other variable.
In the given equations we can see that the coefficients of y in both equations are same with opposite signs so adding both equations will eliminate the variable y from the system.
Hence,
Adding both equations will eliminate a variable in the system of equations
Keywords: Linear equations, variables
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Answer:
Step-by-step explanation:
Let represent the amount of money he initially started with.
After he spent 20% on books, he will have of his initial money left. We can represent this as
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
Divide both sides by 0.64 to isolate and solve for :
Therefore, the boy had $3,125 to begin with.