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Sagot :
Answer:
50+50=100
100+100=200
Step-by-step explanation:
The sum of 2 numbers is 100. 50 x 2 = 100
Twice the first number plus twice the second number is 200.
50+50=100 so therfore 100+100 makes 200
This situation has infinitely many solutions.
What is system of equation?
"A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously".
For the given situation,
Let us consider the numbers be [tex]x[/tex] and [tex]y[/tex].
So the system of equations are represented as
[tex]x+y=100[/tex] and
[tex]2x+2y=200[/tex]
We first express the value of [tex]x[/tex] in terms of [tex]y[/tex] from the equation [tex]x+y=100[/tex] as, [tex]x=100-y[/tex]
Now we substitute the value of [tex]x[/tex] in the second equation, we get
⇒[tex]2(100-y)+2y=200[/tex]
⇒[tex]200-2y+2y=200\\[/tex]
⇒[tex]200=200[/tex]
This statement is true for all values of y.
Hence, we could not conclude a single solution for the above situation. It has infinitely many solutions.
Learn more about system of equations here
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