x = number of hours at one job

y = number of hours at other job

x + y = 22 {TIME}

6.10x + 6.80y = 144 {PAY}

-6.10x - 6.10y = -134.2 {multiplied top equation by -6.10 to eliminate the x when added}

6.10x + 6.80y = 144 {bottom equation stays the same}

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

0.7y = 9.8 {added the two equations}

y = 14 {divided each side by 0.7}

x + y = 22 {top equation}

x + 14 = 22 {substituted 14, in for x, into top equation}

x = 8 {subtracted 14 from each side}

**8 hours at the $6.10 per hour job
**

14 hour at the $6.80 per hour job*@AlgebraHouse*
**
**