The equation 53x+113=−43 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
53x+113=−43
53x=
Subtract 113 from both sides.
x=
Multiply both sides by 35, the reciprocal of 53.
To solve the equation 53x + 113 = -43, you need to isolate x on one side of the equation.
First, subtract 113 from both sides of the equation:
53x = -43 - 113
53x = -156
Next, divide both sides of the equation by 53 to solve for x:
x = -156/53
Finally, multiply both sides of the equation by 35, the reciprocal of 53:
x = (-156/53) * (35/1)
x = -5460/53
The equation 53x+113=−43 is solved as follows:
53x+113=−43
53x= -43 - 113
53x= -156
x= -156/53
Then, you need to multiply both sides by 35, the reciprocal of 53:
x = (-156/53) * 35
Now you can solve this multiplication.
To solve the equation 53x + 113 = -43, follow these steps:
Step 1: To isolate the variable x, subtract 113 from both sides of the equation:
53x + 113 - 113 = -43 - 113
53x = -156
Step 2: Now, solve for x by dividing both sides of the equation by 53:
x = -156 / 53
Step 3: If you need to simplify the fraction, divide the numerator (-156) by the denominator (53) to get the final value of x.
Step 4: The given step to "Multiply both sides by 35, the reciprocal of 53" seems to be incorrect in solving this equation. The reciprocal of 53 is 1/53, not 35.
So, the correct solution to the equation 53x + 113 = -43 is x = -156/53.