QuestionFind the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

Studdy Solution

STEP 1

Assumptions1. We are given a point $(6,1)$ . We are given a linear equation $3x -5y =15$
3. We need to verify if the given point lies on the line represented by the equation

STEP 2

The general form of a linear equation is $ax + by = c$ . A point $(x0, y0)$ lies on the line if and only if the equation holds true when $x = x0$ and $y = y0$ .

STEP 3

Substitute $x =6$ and $y =1$ into the equation $3x -5y =15$ .
$3(6) -5(1) =15$

STEP 4

Calculate the left side of the equation.
$18 - =15$

STEP 5

implify the left side of the equation.
$13 =15$ Since13 is not equal to15, the point $(,1)$ does not lie on the line $3x -5y =15$ .

Was this helpful?

QuestionFind the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

Studdy Solution

STEP 1

Assumptions1. We are given a point $(6,1)$ . We are given a linear equation $3x -5y =15$
3. We need to verify if the given point lies on the line represented by the equation

STEP 2

The general form of a linear equation is $ax + by = c$ . A point $(x0, y0)$ lies on the line if and only if the equation holds true when $x = x0$ and $y = y0$ .

STEP 3

Substitute $x =6$ and $y =1$ into the equation $3x -5y =15$ .
$3(6) -5(1) =15$

STEP 4

Calculate the left side of the equation.
$18 - =15$

STEP 5

implify the left side of the equation.
$13 =15$ Since13 is not equal to15, the point $(,1)$ does not lie on the line $3x -5y =15$ .

Get Studdy

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.

QuestionFind the coordinates of the point (x,y)(x,y)(x,y) that satisfies the equation 3x−5y=153x - 5y = 153x−5y=15 at the point (6,1)(6,1)(6,1).

Studdy Solution

STEP 1

Assumptions1. We are given a point (6,1)(6,1)(6,1). We are given a linear equation 3x−5y=153x -5y =153x−5y=153. We need to verify if the given point lies on the line represented by the equation

STEP 2

The general form of a linear equation is ax+by=cax + by = cax+by=c. A point (x0,y0)(x0, y0)(x0,y0) lies on the line if and only if the equation holds true when x=x0x = x0x=x0 and y=y0y = y0y=y0.

STEP 3

Substitute x=6x =6x=6 and y=1y =1y=1 into the equation 3x−5y=153x -5y =153x−5y=15.3(6)−5(1)=153(6) -5(1) =153(6)−5(1)=15

STEP 4

Calculate the left side of the equation.18−=1518 - =1518−=15

STEP 5

implify the left side of the equation.13=1513 =1513=15Since13 is not equal to15, the point (,1)(,1)(,1) does not lie on the line 3x−5y=153x -5y =153x−5y=15.

Get Studdy

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.

QuestionFind the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

Assumptions1. We are given a point $(6,1)$ . We are given a linear equation $3x -5y =15$
3. We need to verify if the given point lies on the line represented by the equation

The general form of a linear equation is $ax + by = c$ . A point $(x0, y0)$ lies on the line if and only if the equation holds true when $x = x0$ and $y = y0$ .

Substitute $x =6$ and $y =1$ into the equation $3x -5y =15$ .
$3(6) -5(1) =15$

Calculate the left side of the equation.
$18 - =15$

implify the left side of the equation.
$13 =15$ Since13 is not equal to15, the point $(,1)$ does not lie on the line $3x -5y =15$ .