Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information. 3c+2t=$18 5c+6t=$48
3c+2t=18 Subtract 2c from both sides 3c=18-2t Divide both sides by 3 c=(18-2t)/3
Substitute the value for c in equation two: 5c+6t=$48 5((18-2t)/3)+6t=48 (90-10t)/3+6t=48 Multiply everything by 3 to eliminate fraction (3)((90-10t)/3)+(3)(6t)=(3)(48) 90-10t+18t=144 90+8t=144 Subtract 90 from both sides 8t=54 Divide both sides by 8 t=$6.75 cost for table
Substitute the t value to solve for c: 3c+2t=18 3c+2(6.75)=18 3c+13.50=18 3c=4.50 c=$1.50 chair cost
