Math / Algebra

QuestionQuestion 25: The intercept on $x$ -axis of the line $4 x-3 y=16$ is
Single-digit integer (-9 to 9)
Type your answer here

Studdy Solution

STEP 1

1. The equation of the line is given as $4x - 3y = 16$ .
2. The intercept on the $x$ -axis occurs where $y = 0$ .
3. We need to solve for $x$ when $y = 0$ .

STEP 2

1. Substitute the value of $y = 0$ into the equation.
2. Solve for $x$ to find the $x$ -intercept.
3. Verify the solution is a single-digit integer.

STEP 3

Substitute $y = 0$ into the equation $4x - 3y = 16$ :
$4x - 3(0) = 16$
This simplifies to:
$4x = 16$

STEP 4

Solve for $x$ by dividing both sides of the equation by 4:
$x = \frac{16}{4}$
Simplify the right-hand side:
$x = 4$

STEP 5

Verify that the solution $x = 4$ is a single-digit integer.
Since $4$ is indeed a single-digit integer, the solution is correct.
Therefore, the intercept on the $x$ -axis is:
$\boxed{4}$

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QuestionQuestion 25: The intercept on $x$ -axis of the line $4 x-3 y=16$ is
Single-digit integer (-9 to 9)
Type your answer here

Studdy Solution

STEP 1

1. The equation of the line is given as $4x - 3y = 16$ .
2. The intercept on the $x$ -axis occurs where $y = 0$ .
3. We need to solve for $x$ when $y = 0$ .

STEP 2

1. Substitute the value of $y = 0$ into the equation.
2. Solve for $x$ to find the $x$ -intercept.
3. Verify the solution is a single-digit integer.

STEP 3

Substitute $y = 0$ into the equation $4x - 3y = 16$ :
$4x - 3(0) = 16$
This simplifies to:
$4x = 16$

STEP 4

Solve for $x$ by dividing both sides of the equation by 4:
$x = \frac{16}{4}$
Simplify the right-hand side:
$x = 4$

STEP 5

Verify that the solution $x = 4$ is a single-digit integer.
Since $4$ is indeed a single-digit integer, the solution is correct.
Therefore, the intercept on the $x$ -axis is:
$\boxed{4}$

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QuestionQuestion 25: The intercept on xxx-axis of the line 4x−3y=164 x-3 y=164x−3y=16 isSingle-digit integer (-9 to 9)Type your answer here

Studdy Solution

STEP 1

1. The equation of the line is given as 4x−3y=16 4x - 3y = 16 4x−3y=16.2. The intercept on the x x x-axis occurs where y=0 y = 0 y=0.3. We need to solve for x x x when y=0 y = 0 y=0.

STEP 2

1. Substitute the value of y=0 y = 0 y=0 into the equation.2. Solve for x x x to find the x x x-intercept.3. Verify the solution is a single-digit integer.

STEP 3

Substitute y=0 y = 0 y=0 into the equation 4x−3y=16 4x - 3y = 16 4x−3y=16:4x−3(0)=16 4x - 3(0) = 16 4x−3(0)=16This simplifies to:4x=16 4x = 16 4x=16

STEP 4

Solve for x x x by dividing both sides of the equation by 4:x=164 x = \frac{16}{4} x=416​Simplify the right-hand side:x=4 x = 4 x=4

STEP 5

Verify that the solution x=4 x = 4 x=4 is a single-digit integer.Since 4 4 4 is indeed a single-digit integer, the solution is correct.Therefore, the intercept on the x x x-axis is:4 \boxed{4} 4​

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QuestionQuestion 25: The intercept on $x$ -axis of the line $4 x-3 y=16$ is
Single-digit integer (-9 to 9)
Type your answer here

1. The equation of the line is given as $4x - 3y = 16$ .
2. The intercept on the $x$ -axis occurs where $y = 0$ .
3. We need to solve for $x$ when $y = 0$ .

1. Substitute the value of $y = 0$ into the equation.
2. Solve for $x$ to find the $x$ -intercept.
3. Verify the solution is a single-digit integer.

Substitute $y = 0$ into the equation $4x - 3y = 16$ :
$4x - 3(0) = 16$
This simplifies to:
$4x = 16$

Solve for $x$ by dividing both sides of the equation by 4:
$x = \frac{16}{4}$
Simplify the right-hand side:
$x = 4$

Verify that the solution $x = 4$ is a single-digit integer.
Since $4$ is indeed a single-digit integer, the solution is correct.
Therefore, the intercept on the $x$ -axis is:
$\boxed{4}$