a = number of hours at $6.20 per hour job

b = number of hours at $6.90 per hour job

a + b = 26 {TIME}

6.2a + 6.9b = 168.9 {PAY}

-6.2a - 6.2b = -161.2 {multiplied 1st equation by -6.2 to eliminate the a when adding}

6.2a + 6.9b = 168.9 {second equation stays the same}

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0.7b = 7.7 {added the two equations}

b = 11 {divided}

a + b = 26 {first equation}

a + 11 = 26 {substituted 11, in for b, into first equation}

a = 15 {subtracted 11 from each side}

**15 hours at the $6.20 per hour job
**

11 hours at the $6.90 per hour job*@AlgebraHouse*
**
**