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