4t+2c=200
2t+7c=400
I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t
Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each
Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each
Hope this helps! :)
Answer: she has $20 left now.
Step-by-step explanation:
The total amount of money that Kathryn had yesterday was 105 dollars.
She first spent 1/3 of it at the mall. This means that the amount of money that she spent at the mall is
1/3 × 105 = $35
The amount left after her shopping would be 105 - 35 = $70
Later, she went to the movies and spent 5/7 of what was left after her shopping. This means that the amount of money that she spent at the movies is
5/7 × 70 = $50
The amount that she has left now is
70 - 50 = $20
Answer:
Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the formula to find distance <em>d</em>:
Answer:
The answer is x=-17/3
Step-by-step explanation:
The Steps:
-8 + 5(1 + x) = 2x - 20
-8 + 5 + 5x = 2x - 20
-3 + 5x = 2x - 20
-3 + 3x = -20
3x = -17
x = -17/3
For a linear system of equations, there can only be zero solution, 1 solution or an infinite number of solutions. Two lines cannot intersect more than once. The intersection of the lines is called the solution. For this case there could is no solution because it only shows one equation. It cannot intersect on its own line.
