Solve the equation. \sqrt{7-5x}=8

Grady Turner

Grady Turner

Answered question

2021-11-16

Solve the equation.
75x=8

Answer & Explanation

Lupe Kirkland

Lupe Kirkland

Beginner2021-11-17Added 21 answers

Step 1
75x=8
(75x)2=82
Step 2
75x=64
5x=57
x=11.4
Onlaceing

Onlaceing

Beginner2021-11-18Added 15 answers

Step 1: Isolate the square root on the left hand side
Radical already isolated
75x=8
Step 2: Eliminate the radical on the left hand side
Raise both sides to the second power
(75x)2=(8)2
After squaring
7-5x = 64
Step 3: Solve the linear equation
Rearranged equation
5x + 57 = 0
Subtract 57 from both sides
5x = -57
Divide both sides by 5
A possible solution is :
x = -(57/5)
Step 4: Check that the solution is correct
Original equation
75x=8
Plug in -(57/5) for x
75(575)=8
Simplify
64=8
Solution is:
x= -(57/5)

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