x = number of tables with method 1

y = number of tables with method 2

0.5x + 2y = 199 {TIME} -----> -1.5x - 6y = -597 {multiplied top equation by -3}

9x + 6y = 1302 {COST} ------> 9x + 6y = 1302 {bottom equation stays the same}

-------------------

7.5x = 705 {added the two equations}

x = 94 {divided by 7.5}

9x + 6y = 1302 {bottom original equation}

9(94) + 6y = 1302 {substituted 94, in for x, into bottom original equation}

846 + 6y = 1302 {multiplied}

6y = 456 {subtracted 846 from each side}

y = 76 {divided by 6}

**94 tables with method 1
**

76 tables with method 2*@AlgebraHouse*
**
**