QuestionFind the ordered pair $(x, y)$ that satisfies the equation $5x + y = 8$ .

Studdy Solution

STEP 1

Assumptions1. We are looking for an ordered pair $(x, y)$ that satisfies the equation $5x + y =8$ . . The ordered pair $(x, y)$ consists of real numbers.

STEP 2

To find an ordered pair that satisfies the equation, we can choose a value for one of the variables and then solve for the other variable. Let's start by choosing a value for $x$ .

STEP 3

Let's choose $x =1$ .

STEP 4

Now, we can substitute $x =1$ into the equation and solve for $y$ .
$x + y =8$ becomes $(1) + y =8$

STEP 5

implify the equation to find the value of $y$ .
$5 + y =8$

STEP 6

Subtract5 from both sides of the equation to isolate $y$ .
$y =8 -5$

STEP 7

Calculate the value of $y$ .
$y =3$

STEP 8

So, the ordered pair that satisfies the equation $5x + y =8$ when $x =1$ is $(1,3)$ .
The solution to the problem is $(1,3)$ .

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QuestionFind the ordered pair $(x, y)$ that satisfies the equation $5x + y = 8$ .

Studdy Solution

STEP 1

Assumptions1. We are looking for an ordered pair $(x, y)$ that satisfies the equation $5x + y =8$ . . The ordered pair $(x, y)$ consists of real numbers.

STEP 2

To find an ordered pair that satisfies the equation, we can choose a value for one of the variables and then solve for the other variable. Let's start by choosing a value for $x$ .

STEP 3

Let's choose $x =1$ .

STEP 4

Now, we can substitute $x =1$ into the equation and solve for $y$ .
$x + y =8$ becomes $(1) + y =8$

STEP 5

implify the equation to find the value of $y$ .
$5 + y =8$

STEP 6

Subtract5 from both sides of the equation to isolate $y$ .
$y =8 -5$

STEP 7

Calculate the value of $y$ .
$y =3$

STEP 8

So, the ordered pair that satisfies the equation $5x + y =8$ when $x =1$ is $(1,3)$ .
The solution to the problem is $(1,3)$ .

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QuestionFind the ordered pair (x,y)(x, y)(x,y) that satisfies the equation 5x+y=85x + y = 85x+y=8.

Studdy Solution

STEP 1

Assumptions1. We are looking for an ordered pair (x,y)(x, y)(x,y) that satisfies the equation 5x+y=85x + y =85x+y=8. . The ordered pair (x,y)(x, y)(x,y) consists of real numbers.

STEP 2

To find an ordered pair that satisfies the equation, we can choose a value for one of the variables and then solve for the other variable. Let's start by choosing a value for xxx.

STEP 3

Let's choose x=1x =1x=1.

STEP 4

Now, we can substitute x=1x =1x=1 into the equation and solve for yyy.x+y=8x + y =8x+y=8becomes(1)+y=8(1) + y =8(1)+y=8

STEP 5

implify the equation to find the value of yyy.5+y=85 + y =85+y=8

STEP 6

Subtract5 from both sides of the equation to isolate yyy.y=8−5y =8 -5y=8−5

STEP 7

Calculate the value of yyy.y=3y =3y=3

STEP 8

So, the ordered pair that satisfies the equation 5x+y=85x + y =85x+y=8 when x=1x =1x=1 is (1,3)(1,3)(1,3).The solution to the problem is (1,3)(1,3)(1,3).

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QuestionFind the ordered pair $(x, y)$ that satisfies the equation $5x + y = 8$ .

Assumptions1. We are looking for an ordered pair $(x, y)$ that satisfies the equation $5x + y =8$ . . The ordered pair $(x, y)$ consists of real numbers.

To find an ordered pair that satisfies the equation, we can choose a value for one of the variables and then solve for the other variable. Let's start by choosing a value for $x$ .

Let's choose $x =1$ .

Now, we can substitute $x =1$ into the equation and solve for $y$ .
$x + y =8$ becomes $(1) + y =8$

implify the equation to find the value of $y$ .
$5 + y =8$

Subtract5 from both sides of the equation to isolate $y$ .
$y =8 -5$

Calculate the value of $y$ .
$y =3$

So, the ordered pair that satisfies the equation $5x + y =8$ when $x =1$ is $(1,3)$ .
The solution to the problem is $(1,3)$ .