QuestionFind $x^{5} y + 1$ if $(x+2, y) = (2, 3)$ . Options: (a) 3 (b) 2 (c) 0 (d) 1.

Studdy Solution

STEP 1

Assumptions1. The given equation is $(x+, y)=(,3)$ . We need to find the value of $x^{5} y+1$

STEP 2

The given equation can be split into two equations. The first one is $x+2=2$ and the second one is $y=$ .

STEP 3

Let's solve the first equation for $x$ .
$x+2=2$

STEP 4

Subtract2 from both sides of the equation to solve for $x$ .
$x =2 -2$

STEP 5

Calculate the value of $x$ .
$x =2 -2 =0$

STEP 6

Now that we have the value of $x$ , we can substitute $x=0$ and $y=3$ into the equation $x^{5} y+1$ to find its value.
$x^{5} y+1 =0^{5} \cdot3 +1$

STEP 7

Calculate the value of $x^{5} y+1$ .
$x^{5} y+1 =0 \cdot3 +1 =0 +1 =1$ So, $x^{5} y+1=1$ . Therefore, the correct answer is (d)1.

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QuestionFind $x^{5} y + 1$ if $(x+2, y) = (2, 3)$ . Options: (a) 3 (b) 2 (c) 0 (d) 1.

Studdy Solution

STEP 1

Assumptions1. The given equation is $(x+, y)=(,3)$ . We need to find the value of $x^{5} y+1$

STEP 2

The given equation can be split into two equations. The first one is $x+2=2$ and the second one is $y=$ .

STEP 3

Let's solve the first equation for $x$ .
$x+2=2$

STEP 4

Subtract2 from both sides of the equation to solve for $x$ .
$x =2 -2$

STEP 5

Calculate the value of $x$ .
$x =2 -2 =0$

STEP 6

Now that we have the value of $x$ , we can substitute $x=0$ and $y=3$ into the equation $x^{5} y+1$ to find its value.
$x^{5} y+1 =0^{5} \cdot3 +1$

STEP 7

Calculate the value of $x^{5} y+1$ .
$x^{5} y+1 =0 \cdot3 +1 =0 +1 =1$ So, $x^{5} y+1=1$ . Therefore, the correct answer is (d)1.

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QuestionFind x5y+1x^{5} y + 1x5y+1 if (x+2,y)=(2,3)(x+2, y) = (2, 3)(x+2,y)=(2,3). Options: (a) 3 (b) 2 (c) 0 (d) 1.

Studdy Solution

STEP 1

Assumptions1. The given equation is (x+,y)=(,3)(x+, y)=(,3)(x+,y)=(,3). We need to find the value of x5y+1x^{5} y+1x5y+1

STEP 2

The given equation can be split into two equations. The first one is x+2=2x+2=2x+2=2 and the second one is y=y=y=.

STEP 3

Let's solve the first equation for xxx.x+2=2x+2=2x+2=2

STEP 4

Subtract2 from both sides of the equation to solve for xxx.x=2−2x =2 -2x=2−2

STEP 5

Calculate the value of xxx.x=2−2=0x =2 -2 =0x=2−2=0

STEP 6

Now that we have the value of xxx, we can substitute x=0x=0x=0 and y=3y=3y=3 into the equation x5y+1x^{5} y+1x5y+1 to find its value.x5y+1=05⋅3+1x^{5} y+1 =0^{5} \cdot3 +1x5y+1=05⋅3+1

STEP 7

Calculate the value of x5y+1x^{5} y+1x5y+1.x5y+1=0⋅3+1=0+1=1x^{5} y+1 =0 \cdot3 +1 =0 +1 =1x5y+1=0⋅3+1=0+1=1So, x5y+1=1x^{5} y+1=1x5y+1=1. Therefore, the correct answer is (d)1.

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QuestionFind $x^{5} y + 1$ if $(x+2, y) = (2, 3)$ . Options: (a) 3 (b) 2 (c) 0 (d) 1.

Assumptions1. The given equation is $(x+, y)=(,3)$ . We need to find the value of $x^{5} y+1$

The given equation can be split into two equations. The first one is $x+2=2$ and the second one is $y=$ .

Let's solve the first equation for $x$ .
$x+2=2$

Subtract2 from both sides of the equation to solve for $x$ .
$x =2 -2$

Calculate the value of $x$ .
$x =2 -2 =0$

Now that we have the value of $x$ , we can substitute $x=0$ and $y=3$ into the equation $x^{5} y+1$ to find its value.
$x^{5} y+1 =0^{5} \cdot3 +1$

Calculate the value of $x^{5} y+1$ .
$x^{5} y+1 =0 \cdot3 +1 =0 +1 =1$ So, $x^{5} y+1=1$ . Therefore, the correct answer is (d)1.