The equation 53x+113=−43 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)%0D%0A53x+113=−43%0D%0A53x= −%0D%0A3%0D%0A5%E2%80%8B%09Subtract 113 from both sides.%0D%0Ax= %09Multiply both sides by 35, the reciprocal of 53.
53x+113=−43
Subtract 113 from both sides.
53x = -156
Multiply both sides by 35, the reciprocal of 53.
x = -5
To solve the equation 53x + 113 = -43, we can follow these steps:
1. Subtract 113 from both sides:
53x + 113 - 113 = -43 - 113
53x = -156
2. Multiply both sides by 35, the reciprocal of 53:
x = (-156) * (1/53)
x = -3
Therefore, the solution to the equation is x = -3.
To solve the equation 53x+113=−43, follow these steps:
Step 1: Subtract 113 from both sides of the equation:
53x + 113 - 113 = -43 - 113
53x = -156
Step 2: Divide both sides of the equation by 53 to solve for x. In this case, the reciprocal of 53 is 1/53. So we multiply both sides by 1/53:
(1/53) * 53x = (-156) * (1/53)
x = -156/53 or -2.943
Therefore, the value of x is approximately -2.943.
The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)%0D%0A53x+113=−43%0D%0A53x= −%0D%0A3%0D%0A5%E2%80%8B%09Subtract 113 from both sides.%0D%0Ax= %09Multiply both sides by 35, the reciprocal of 53.
To solve the equation (5/3)x + 11/3 = -4/3, we can follow these steps:
1. Subtract 11/3 from both sides:
(5/3)x + 11/3 - 11/3 = -4/3 - 11/3
(5/3)x = -15/3
2. Simplify the right side of the equation:
(5/3)x = -5
3. To solve for x, we need to isolate x by multiplying both sides of the equation by the reciprocal of 5/3, which is 3/5:
((3/5) * (5/3))x = (-5) * (3/5)
x = -15/5
4. Simplify the right side of the equation:
x = -3
Therefore, the solution to the equation is x = -3.
5/3x= [enter answer here] Subtract 113 from both sides.%0D%0Ax= %09Multiply both sides by 35, the reciprocal of 53.
To solve the equation 5/3x = -15/3, we can follow these steps:
1. Simplify the left side of the equation:
5/3x = -5
2. Multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
((3/5) * (5/3))x = (-5) * (3/5)
1x = -3
3. Simplify the right side of the equation:
x = -3
Therefore, the solution to the equation is x = -3.
Note: I apologize for the confusion in the previous response. The equation given was 5/3x + 11/3 = -4/3, not 53x + 113 = -43.
5/3x= [enter answer here] Subtract 11/3 from both sides.
To continue solving the equation 5/3x = -15/3, we can follow these steps:
1. Subtract 11/3 from both sides:
(5/3)x - 11/3 = -15/3 - 11/3
(5/3)x - 11/3 = -26/3
Now we have the equation (5/3)x - 11/3 = -26/3.
Please note that the given equation in the original question was 5/3x + 11/3 = -4/3, not 5/3x = -15/3. I apologize for the confusion.