Solved on Feb 21, 2024

Find the equation with solution $x=5$ . Possible equations: $8x+1=41$ $5x+7=35$ $9x-4=-41$ $4x+1=61$

STEP 1

Assumptions
1. We are looking for the equation that has the solution $x=5$ .
2. The options given are: a. $8x + 1 = 41$ b. $5x + 7 = 35$ c. $9x - 4 = -41$ d. $4x + 1 = 61$

STEP 2

We will substitute $x=5$ into each of the equations to check which one is true.

STEP 3

Substitute $x=5$ into the first equation.
$8x + 1 = 41$
$8(5) + 1 = 41$

STEP 4

Calculate the left side of the equation after substitution.
$8(5) + 1 = 40 + 1 = 41$

STEP 5

Since the left side equals the right side after the substitution, the first equation is true for $x=5$ .

STEP 6

For completeness, let's check the other options as well.

STEP 7

Substitute $x=5$ into the second equation.
$5x + 7 = 35$
$5(5) + 7 = 35$

STEP 8

Calculate the left side of the equation after substitution.
$5(5) + 7 = 25 + 7 = 32$

STEP 9

Since the left side does not equal the right side, the second equation is not true for $x=5$ .

STEP 10

Substitute $x=5$ into the third equation.
$9x - 4 = -41$
$9(5) - 4 = -41$

STEP 11

Calculate the left side of the equation after substitution.
$9(5) - 4 = 45 - 4 = 41$

STEP 12

Since the left side does not equal the right side, the third equation is not true for $x=5$ .

STEP 13

Substitute $x=5$ into the fourth equation.
$4x + 1 = 61$
$4(5) + 1 = 61$

STEP 14

Calculate the left side of the equation after substitution.
$4(5) + 1 = 20 + 1 = 21$

STEP 15

Since the left side does not equal the right side, the fourth equation is not true for $x=5$ .

STEP 16

After checking all options, we have found that the equation $8x + 1 = 41$ is the only one that holds true for $x=5$ .
The equation with the solution $x=5$ is $8x + 1 = 41$ .

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Find the equation with solution $x=5$ . Possible equations: $8x+1=41$ $5x+7=35$ $9x-4=-41$ $4x+1=61$

STEP 1

Assumptions
1. We are looking for the equation that has the solution $x=5$ .
2. The options given are: a. $8x + 1 = 41$ b. $5x + 7 = 35$ c. $9x - 4 = -41$ d. $4x + 1 = 61$

STEP 2

We will substitute $x=5$ into each of the equations to check which one is true.

STEP 3

Substitute $x=5$ into the first equation.
$8x + 1 = 41$
$8(5) + 1 = 41$

STEP 4

Calculate the left side of the equation after substitution.
$8(5) + 1 = 40 + 1 = 41$

STEP 5

Since the left side equals the right side after the substitution, the first equation is true for $x=5$ .

STEP 6

For completeness, let's check the other options as well.

STEP 7

Substitute $x=5$ into the second equation.
$5x + 7 = 35$
$5(5) + 7 = 35$

STEP 8

Calculate the left side of the equation after substitution.
$5(5) + 7 = 25 + 7 = 32$

STEP 9

Since the left side does not equal the right side, the second equation is not true for $x=5$ .

STEP 10

Substitute $x=5$ into the third equation.
$9x - 4 = -41$
$9(5) - 4 = -41$

STEP 11

Calculate the left side of the equation after substitution.
$9(5) - 4 = 45 - 4 = 41$

STEP 12

Since the left side does not equal the right side, the third equation is not true for $x=5$ .

STEP 13

Substitute $x=5$ into the fourth equation.
$4x + 1 = 61$
$4(5) + 1 = 61$

STEP 14

Calculate the left side of the equation after substitution.
$4(5) + 1 = 20 + 1 = 21$

STEP 15

Since the left side does not equal the right side, the fourth equation is not true for $x=5$ .

STEP 16

After checking all options, we have found that the equation $8x + 1 = 41$ is the only one that holds true for $x=5$ .
The equation with the solution $x=5$ is $8x + 1 = 41$ .

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Find the equation with solution x=5x=5x=5. Possible equations: 8x+1=418x+1=418x+1=41 5x+7=355x+7=355x+7=35 9x−4=−419x-4=-419x−4=−41 4x+1=614x+1=614x+1=61

STEP 1

Assumptions1. We are looking for the equation that has the solution x=5x=5x=5.2. The options given are: a. 8x+1=418x + 1 = 418x+1=41 b. 5x+7=355x + 7 = 355x+7=35 c. 9x−4=−419x - 4 = -419x−4=−41 d. 4x+1=614x + 1 = 614x+1=61

STEP 2

We will substitute x=5x=5x=5 into each of the equations to check which one is true.

STEP 3

Substitute x=5x=5x=5 into the first equation.8x+1=418x + 1 = 418x+1=418(5)+1=418(5) + 1 = 418(5)+1=41

STEP 4

Calculate the left side of the equation after substitution.8(5)+1=40+1=418(5) + 1 = 40 + 1 = 418(5)+1=40+1=41

STEP 5

Since the left side equals the right side after the substitution, the first equation is true for x=5x=5x=5.

STEP 6

For completeness, let's check the other options as well.

STEP 7

Substitute x=5x=5x=5 into the second equation.5x+7=355x + 7 = 355x+7=355(5)+7=355(5) + 7 = 355(5)+7=35

STEP 8

Calculate the left side of the equation after substitution.5(5)+7=25+7=325(5) + 7 = 25 + 7 = 325(5)+7=25+7=32

STEP 9

Since the left side does not equal the right side, the second equation is not true for x=5x=5x=5.

STEP 10

Substitute x=5x=5x=5 into the third equation.9x−4=−419x - 4 = -419x−4=−419(5)−4=−419(5) - 4 = -419(5)−4=−41

STEP 11

Calculate the left side of the equation after substitution.9(5)−4=45−4=419(5) - 4 = 45 - 4 = 419(5)−4=45−4=41

STEP 12

Since the left side does not equal the right side, the third equation is not true for x=5x=5x=5.

STEP 13

Substitute x=5x=5x=5 into the fourth equation.4x+1=614x + 1 = 614x+1=614(5)+1=614(5) + 1 = 614(5)+1=61

STEP 14

Calculate the left side of the equation after substitution.4(5)+1=20+1=214(5) + 1 = 20 + 1 = 214(5)+1=20+1=21

STEP 15

Since the left side does not equal the right side, the fourth equation is not true for x=5x=5x=5.

STEP 16

After checking all options, we have found that the equation 8x+1=418x + 1 = 418x+1=41 is the only one that holds true for x=5x=5x=5.The equation with the solution x=5x=5x=5 is 8x+1=418x + 1 = 418x+1=41.

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Find the equation with solution $x=5$ . Possible equations: $8x+1=41$ $5x+7=35$ $9x-4=-41$ $4x+1=61$

Assumptions
1. We are looking for the equation that has the solution $x=5$ .
2. The options given are: a. $8x + 1 = 41$ b. $5x + 7 = 35$ c. $9x - 4 = -41$ d. $4x + 1 = 61$

We will substitute $x=5$ into each of the equations to check which one is true.

Substitute $x=5$ into the first equation.
$8x + 1 = 41$
$8(5) + 1 = 41$

Calculate the left side of the equation after substitution.
$8(5) + 1 = 40 + 1 = 41$

Since the left side equals the right side after the substitution, the first equation is true for $x=5$ .

Substitute $x=5$ into the second equation.
$5x + 7 = 35$
$5(5) + 7 = 35$

Calculate the left side of the equation after substitution.
$5(5) + 7 = 25 + 7 = 32$

Since the left side does not equal the right side, the second equation is not true for $x=5$ .

Substitute $x=5$ into the third equation.
$9x - 4 = -41$
$9(5) - 4 = -41$

Calculate the left side of the equation after substitution.
$9(5) - 4 = 45 - 4 = 41$

Since the left side does not equal the right side, the third equation is not true for $x=5$ .

Substitute $x=5$ into the fourth equation.
$4x + 1 = 61$
$4(5) + 1 = 61$

Calculate the left side of the equation after substitution.
$4(5) + 1 = 20 + 1 = 21$

Since the left side does not equal the right side, the fourth equation is not true for $x=5$ .

After checking all options, we have found that the equation $8x + 1 = 41$ is the only one that holds true for $x=5$ .
The equation with the solution $x=5$ is $8x + 1 = 41$ .