Question

Solve the following equation: -3 = 1 3/5 + m.

Answer 1

• -3=1 -3/5+m
• -3=8/5+m
• m=-3-8/5
• m=-15-8/5
• m=-23/5
• m=-4 3/5

Answer 2

`\sf m=-4 (3)/(5)`

Explanation:

`\sf -3=1 (3)/(5)+m`

`\sf \implies -3=1+(3)/(5)+m`

Subtract 1 from both sides:

`\sf \implies -3-1=1+(3)/(5)+m-1`

`\implies \sf -4=(3)/(5)+m`

Subtract 3/5 from both sides:

`\implies \sf -4-(3)/(5)=(3)/(5)+m-(3)/(5)`

`\implies \sf -4-(3)/(5)=m`

`\implies \sf -\left(4+(3)/(5)\right)=m`

`\implies \sf m=-4 (3)/(5)`