If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
Answer:
$6.60 dollars
Step-by-step explanation:
He bought 10 34¢ stamps which means it only costed $3.40, because 10x.34=3.40
So in order to find the change, you subtract $10-$3.40, which equals $6.60
Answer:
Gcf or Lcf, you didint state on question
Answer:
(3,1)
Step-by-step explanation:
Multiplying the second equation by 3, we get
-12x-6y=-42.
Now, adding this to the first equation, we get
-13x=-39
Therefore, x=3
plugging in x=3 to the first equation, we get that
-3+6y=3
adding 3 to both sides,
6y=6
therefore, y=1
