Question

Ive the equation and check the solution. Express 4(a+4)-11=-2(a+5) The solution set is

Answer 1

Equations

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\bf{4(a+4)-11=-2(a+5)}`

We need to isolate a on one side of the equation.

So first we use the distributive property on both sides:

`\mapsto\quad\bf{4a+16-11=-2a-10}`

`\mapsto\quad\bf{4a+5=-2a-10}`

Subtract 5 from both sides

`\mapsto\quad\bf{4a=-2a-15}`

Add 2a to both sides

`\mapsto\quad\bf{4a+2a=-15}`

`\mapsto\quad\bf{6a=-15}`

Divide both sides by 6:

`\mapsto\quad\bf{a=-\cfrac{15}{6}}`

`\mapsto\quad\bf{a=-\cfrac{5}{2}}`

Therefore, a = -5/2.

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Answer 2

a=2.5

Explanation:

apply BODMAS and the knowledge of working out the unknowns and collecting like terms