Math, asked by dasmartin56, 5 hours ago

5(a+2)-3(a-1)=3
solve it please​

Answers

Answered by javedpatel78618
0

How to solve your problem

Topics: Precalculus, Matrix

5

(

+

2

)

3

(

1

)

=

3

5(a+2)-3(a-1)=3

5(a+2)−3(a−1)=3

Solve

1

Distribute

5

(

+

2

)

3

(

1

)

=

3

{\color{#c92786}{5(a+2)}}-3(a-1)=3

5(a+2)−3(a−1)=3

5

+

1

0

3

(

1

)

=

3

{\color{#c92786}{5a+10}}-3(a-1)=3

5a+10−3(a−1)=3

2

Distribute

5

+

1

0

3

(

1

)

=

3

5a+10{\color{#c92786}{-3(a-1)}}=3

5a+10−3(a−1)=3

5

+

1

0

3

+

3

=

3

5a+10{\color{#c92786}{-3a+3}}=3

5a+10−3a+3=3

3

Add the numbers

5

+

1

0

3

+

3

=

3

5a+{\color{#c92786}{10}}-3a+{\color{#c92786}{3}}=3

5a+10−3a+3=3

5

+

1

3

3

=

3

5a+{\color{#c92786}{13}}-3a=3

5a+13−3a=3

4

Combine like terms

5

+

1

3

3

=

3

{\color{#c92786}{5a}}+13{\color{#c92786}{-3a}}=3

5a+13−3a=3

2

+

1

3

=

3

{\color{#c92786}{2a}}+13=3

2a+13=3

5

Subtract

1

3

13

13

from both sides of the equation

2

+

1

3

=

3

2a+13=3

2a+13=3

2

+

1

3

1

3

=

3

1

3

2a+13{\color{#c92786}{-13}}=3{\color{#c92786}{-13}}

2a+13−13=3−13

6

Simplify

Subtract the numbers

Subtract the numbers

2

=

1

0

2a=-10

2a=−10

7

Divide both sides of the equation by the same term

2

=

1

0

2a=-10

2a=−10

2

2

=

1

0

2

\frac{2a}{{\color{#c92786}{2}}}=\frac{-10}{{\color{#c92786}{2}}}

22a=2−10

8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

answer a = -5

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