Solved on Jan 18, 2024

Find the zero of $9x + 2y = 18$ by setting $9x + 2y = 0$ and solving for $x$ .

STEP 1

Assumptions
1. We are looking for the zero of the equation $9x + 2y = 18$ .
2. The zero of an equation in two variables is the value of one variable when the other variable is set to zero.

STEP 2

To find the zero of the equation, we need to set one of the variables to zero and solve for the other variable.

STEP 3

Option a suggests substituting 0 for $x$ and solving for $y$ . This would give us the $y$ -intercept of the equation, not the zero.

STEP 4

Option b suggests substituting 0 for $y$ and solving for $x$ . This would give us the $x$ -intercept of the equation, which is the zero of the equation.

STEP 5

Option c suggests setting $9x + 2y = 0$ and solving for $x$ . This does not make sense because it alters the original equation, and we are not looking for the solution of this new equation.

STEP 6

Option d suggests solving the equation for $y$ and finding the coefficient in front of $x$ . This would not directly give us the zero of the equation.

STEP 7

The correct step is to follow option b, which is to substitute 0 for $y$ and solve for $x$ .

STEP 8

Substitute $y = 0$ into the equation.
$9x + 2(0) = 18$

STEP 9

Simplify the equation by removing the term with zero.
$9x = 18$

STEP 10

Divide both sides of the equation by 9 to solve for $x$ .
$x = \frac{18}{9}$

STEP 11

Calculate the value of $x$ .
$x = 2$
The zero of the equation $9x + 2y = 18$ is $x = 2$ when $y = 0$ .

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Find the zero of $9x + 2y = 18$ by setting $9x + 2y = 0$ and solving for $x$ .

STEP 1

Assumptions
1. We are looking for the zero of the equation $9x + 2y = 18$ .
2. The zero of an equation in two variables is the value of one variable when the other variable is set to zero.

STEP 2

To find the zero of the equation, we need to set one of the variables to zero and solve for the other variable.

STEP 3

Option a suggests substituting 0 for $x$ and solving for $y$ . This would give us the $y$ -intercept of the equation, not the zero.

STEP 4

Option b suggests substituting 0 for $y$ and solving for $x$ . This would give us the $x$ -intercept of the equation, which is the zero of the equation.

STEP 5

Option c suggests setting $9x + 2y = 0$ and solving for $x$ . This does not make sense because it alters the original equation, and we are not looking for the solution of this new equation.

STEP 6

Option d suggests solving the equation for $y$ and finding the coefficient in front of $x$ . This would not directly give us the zero of the equation.

STEP 7

The correct step is to follow option b, which is to substitute 0 for $y$ and solve for $x$ .

STEP 8

Substitute $y = 0$ into the equation.
$9x + 2(0) = 18$

STEP 9

Simplify the equation by removing the term with zero.
$9x = 18$

STEP 10

Divide both sides of the equation by 9 to solve for $x$ .
$x = \frac{18}{9}$

STEP 11

Calculate the value of $x$ .
$x = 2$
The zero of the equation $9x + 2y = 18$ is $x = 2$ when $y = 0$ .

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Find the zero of 9x+2y=189x + 2y = 189x+2y=18 by setting 9x+2y=09x + 2y = 09x+2y=0 and solving for xxx.

STEP 1

Assumptions1. We are looking for the zero of the equation 9x+2y=189x + 2y = 189x+2y=18.2. The zero of an equation in two variables is the value of one variable when the other variable is set to zero.

STEP 2

To find the zero of the equation, we need to set one of the variables to zero and solve for the other variable.

STEP 3

Option a suggests substituting 0 for xxx and solving for yyy. This would give us the yyy-intercept of the equation, not the zero.

STEP 4

Option b suggests substituting 0 for yyy and solving for xxx. This would give us the xxx-intercept of the equation, which is the zero of the equation.

STEP 5

Option c suggests setting 9x+2y=09x + 2y = 09x+2y=0 and solving for xxx. This does not make sense because it alters the original equation, and we are not looking for the solution of this new equation.

STEP 6

Option d suggests solving the equation for yyy and finding the coefficient in front of xxx. This would not directly give us the zero of the equation.

STEP 7

The correct step is to follow option b, which is to substitute 0 for yyy and solve for xxx.

STEP 8

Substitute y=0y = 0y=0 into the equation.9x+2(0)=189x + 2(0) = 189x+2(0)=18

STEP 9

Simplify the equation by removing the term with zero.9x=189x = 189x=18

STEP 10

Divide both sides of the equation by 9 to solve for xxx.x=189x = \frac{18}{9}x=918​

STEP 11

Calculate the value of xxx.x=2x = 2x=2The zero of the equation 9x+2y=189x + 2y = 189x+2y=18 is x=2x = 2x=2 when y=0y = 0y=0.

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Find the zero of $9x + 2y = 18$ by setting $9x + 2y = 0$ and solving for $x$ .

Assumptions
1. We are looking for the zero of the equation $9x + 2y = 18$ .
2. The zero of an equation in two variables is the value of one variable when the other variable is set to zero.

Option a suggests substituting 0 for $x$ and solving for $y$ . This would give us the $y$ -intercept of the equation, not the zero.

Option b suggests substituting 0 for $y$ and solving for $x$ . This would give us the $x$ -intercept of the equation, which is the zero of the equation.

Option c suggests setting $9x + 2y = 0$ and solving for $x$ . This does not make sense because it alters the original equation, and we are not looking for the solution of this new equation.

Option d suggests solving the equation for $y$ and finding the coefficient in front of $x$ . This would not directly give us the zero of the equation.

The correct step is to follow option b, which is to substitute 0 for $y$ and solve for $x$ .

Substitute $y = 0$ into the equation.
$9x + 2(0) = 18$

Simplify the equation by removing the term with zero.
$9x = 18$

Divide both sides of the equation by 9 to solve for $x$ .
$x = \frac{18}{9}$

Calculate the value of $x$ .
$x = 2$
The zero of the equation $9x + 2y = 18$ is $x = 2$ when $y = 0$ .