Fifteen chairs wee put into 3 rows of 5. Write an equation to show a relationship between the numbers.
2 answers:
For this case we have to find an equation according to 15 chairs distributed in three rows of 5 chairs each.
If in each row there are 5 chairs, and we have a total of three rows, then, the total of chairs will be given by the multiplication of the rows by the number of chairs in each row, then we have the following equation:
Answer:
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Equation 1 is ,
Equation 2 is [/tex] 3x-2y = -1 [/tex]
for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15
Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method
Add both the equations
Divide both sides by 11
Plug in any one of the equation we get
3(3) -2y = -1
9 - 2y = -1
subtract 9 from both sides
-2y = -10
divide both sides by -2
y=5
So the solution is x= 3 , y= 5
Which means
a. The system is consistent and independent. TRUE