Math / Algebra

Question $3 a-5 a+6=a-(2 a+a-6)$

Studdy Solution

STEP 1

1. The given equation involves a single variable $a$ .
2. The equation can be simplified by combining like terms and isolating the variable $a$ .
3. The goal is to find the value of $a$ that satisfies the equation.

STEP 2

1. Simplify the left-hand side of the equation.
2. Simplify the right-hand side of the equation.
3. Set the simplified left-hand side equal to the simplified right-hand side.
4. Solve for the variable $a$ .

STEP 3

Simplify the left-hand side of the equation by combining like terms.
$3a - 5a + 6$
Combine the $a$ terms:
$(3 - 5)a + 6$
$-2a + 6$

STEP 4

Simplify the right-hand side of the equation by combining like terms.
$a - (2a + a - 6)$
First, simplify the terms inside the parentheses:
$2a + a = 3a$
So the expression inside the parentheses becomes:
$a - (3a - 6)$
Distribute the negative sign:
$a - 3a + 6$
Combine the $a$ terms:
$(1 - 3)a + 6$
$-2a + 6$

STEP 5

Set the simplified left-hand side equal to the simplified right-hand side.
$-2a + 6 = -2a + 6$

STEP 6

Since the equation $-2a + 6 = -2a + 6$ is an identity (true for all values of $a$ ), it indicates that any value of $a$ satisfies the equation.
Thus, the solution is that $a$ can be any real number.

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Question $3 a-5 a+6=a-(2 a+a-6)$

Studdy Solution

STEP 1

1. The given equation involves a single variable $a$ .
2. The equation can be simplified by combining like terms and isolating the variable $a$ .
3. The goal is to find the value of $a$ that satisfies the equation.

STEP 2

1. Simplify the left-hand side of the equation.
2. Simplify the right-hand side of the equation.
3. Set the simplified left-hand side equal to the simplified right-hand side.
4. Solve for the variable $a$ .

STEP 3

Simplify the left-hand side of the equation by combining like terms.
$3a - 5a + 6$
Combine the $a$ terms:
$(3 - 5)a + 6$
$-2a + 6$

STEP 4

STEP 5

Set the simplified left-hand side equal to the simplified right-hand side.
$-2a + 6 = -2a + 6$

STEP 6

Since the equation $-2a + 6 = -2a + 6$ is an identity (true for all values of $a$ ), it indicates that any value of $a$ satisfies the equation.
Thus, the solution is that $a$ can be any real number.

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Question3a−5a+6=a−(2a+a−6)3 a-5 a+6=a-(2 a+a-6)3a−5a+6=a−(2a+a−6)

Studdy Solution

STEP 1

1. The given equation involves a single variable aaa.2. The equation can be simplified by combining like terms and isolating the variable aaa.3. The goal is to find the value of aaa that satisfies the equation.

STEP 2

1. Simplify the left-hand side of the equation.2. Simplify the right-hand side of the equation.3. Set the simplified left-hand side equal to the simplified right-hand side.4. Solve for the variable aaa.

STEP 3

Simplify the left-hand side of the equation by combining like terms.3a−5a+6 3a - 5a + 6 3a−5a+6Combine the aaa terms:(3−5)a+6 (3 - 5)a + 6 (3−5)a+6−2a+6 -2a + 6 −2a+6

STEP 4

STEP 5

Set the simplified left-hand side equal to the simplified right-hand side.−2a+6=−2a+6 -2a + 6 = -2a + 6 −2a+6=−2a+6

STEP 6

Since the equation −2a+6=−2a+6-2a + 6 = -2a + 6−2a+6=−2a+6 is an identity (true for all values of aaa), it indicates that any value of aaa satisfies the equation.Thus, the solution is that aaa can be any real number.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $3 a-5 a+6=a-(2 a+a-6)$

1. The given equation involves a single variable $a$ .
2. The equation can be simplified by combining like terms and isolating the variable $a$ .
3. The goal is to find the value of $a$ that satisfies the equation.

1. Simplify the left-hand side of the equation.
2. Simplify the right-hand side of the equation.
3. Set the simplified left-hand side equal to the simplified right-hand side.
4. Solve for the variable $a$ .

Simplify the left-hand side of the equation by combining like terms.
$3a - 5a + 6$
Combine the $a$ terms:
$(3 - 5)a + 6$
$-2a + 6$

Set the simplified left-hand side equal to the simplified right-hand side.
$-2a + 6 = -2a + 6$

Since the equation $-2a + 6 = -2a + 6$ is an identity (true for all values of $a$ ), it indicates that any value of $a$ satisfies the equation.
Thus, the solution is that $a$ can be any real number.