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If Jimmy answered u questions correctly, he answered ( 20 – u) questions wrongly.

5u + (-2) ( 20 – u ) = 58

5u – 40 + 2u = 58

7u = 98

u = 14

So 14 questions were answered correctly. 

Alternatively, if Jimmy answered all questions correctly, he scored 5 * 20 = 100 points.

For every questions he answered wrongly, he would score 5 + 2 = 7 points less.

If n questions were answered wrongly, 

100 -7n = 58

7n = 100 – 58

7n= 42

n = 6

20 -6 = 14

So 14 questions were answered correctly.

Check : 14 * 5 + (-2)6 = 70 -12 = 58 checked.

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