QuestionSolve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation of the form $ax + b = cx + d$ . . The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places.

STEP 2

First, we need to isolate the $x$ terms on one side of the equation. We can do this by adding $9x$ to both sides of the equation.
$-6x +9x +4 = -9x +9x +7$

STEP 3

implify the left side of the equation by combining like terms.
$3x + =7$

STEP 4

Next, we need to isolate $x$ by subtracting $4$ from both sides of the equation.
$3x +4 -4 =7 -4$

STEP 5

implify both sides of the equation.
$3x =3$

STEP 6

Finally, we solve for $x$ by dividing both sides of the equation by $3$ .
$x =3 /3$

STEP 7

implify the right side of the equation to find the solution.
$x =1$ The solution to the equation is $x =1$ .

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QuestionSolve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation of the form $ax + b = cx + d$ . . The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places.

STEP 2

First, we need to isolate the $x$ terms on one side of the equation. We can do this by adding $9x$ to both sides of the equation.
$-6x +9x +4 = -9x +9x +7$

STEP 3

implify the left side of the equation by combining like terms.
$3x + =7$

STEP 4

Next, we need to isolate $x$ by subtracting $4$ from both sides of the equation.
$3x +4 -4 =7 -4$

STEP 5

implify both sides of the equation.
$3x =3$

STEP 6

Finally, we solve for $x$ by dividing both sides of the equation by $3$ .
$x =3 /3$

STEP 7

implify the right side of the equation to find the solution.
$x =1$ The solution to the equation is $x =1$ .

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QuestionSolve the equation −6x+4=−9x+7-6x + 4 = -9x + 7−6x+4=−9x+7 and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation of the form ax+b=cx+dax + b = cx + dax+b=cx+d. . The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places.

STEP 2

First, we need to isolate the xxx terms on one side of the equation. We can do this by adding 9x9x9x to both sides of the equation.−6x+9x+4=−9x+9x+7-6x +9x +4 = -9x +9x +7−6x+9x+4=−9x+9x+7

STEP 3

implify the left side of the equation by combining like terms.3x+=73x + =73x+=7

STEP 4

Next, we need to isolate xxx by subtracting 444 from both sides of the equation.3x+4−4=7−43x +4 -4 =7 -43x+4−4=7−4

STEP 5

implify both sides of the equation.3x=33x =33x=3

STEP 6

Finally, we solve for xxx by dividing both sides of the equation by 333.x=3/3x =3 /3x=3/3

STEP 7

implify the right side of the equation to find the solution.x=1x =1x=1The solution to the equation is x=1x =1x=1.

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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.

QuestionSolve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Assumptions1. The equation is a linear equation of the form $ax + b = cx + d$ . . The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places.

First, we need to isolate the $x$ terms on one side of the equation. We can do this by adding $9x$ to both sides of the equation.
$-6x +9x +4 = -9x +9x +7$

implify the left side of the equation by combining like terms.
$3x + =7$

Next, we need to isolate $x$ by subtracting $4$ from both sides of the equation.
$3x +4 -4 =7 -4$

implify both sides of the equation.
$3x =3$

Finally, we solve for $x$ by dividing both sides of the equation by $3$ .
$x =3 /3$

implify the right side of the equation to find the solution.
$x =1$ The solution to the equation is $x =1$ .