Question

How many solutions does the following equation have?
4(y−30)=4y+12
Choose 1 answer:

A
No solutions

B
Exactly one solution

C
Infinitely many solutions

Answer 1

Answer:

A) No solution

Step-by-step explanation:

4(y-30) = 4y+12

4y-120 = 4y+12

-120 = 12

12 = -120

No solution.

Answer 2

Number of solutions the equation has, when the equation given the equal result.  The equation given in the problem has no solution.

How to find solution of equation?

If the equation given a unique and single value of variable after solving then the equation is said one solution equation.

The three solution of a equation are-

• One solution- When the provides the singe value of the given variable, we get one or unique solution.

• No solution- When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.

• Infinite many solution- For the same line, the equation has the infinite many solution.

Given information-

The equation given in the problem is,

$4(y-30)=4y+12$

Solve the above equation, to check weather equation is equal or not. Thus,

$4y-4\times30=4y+12\\4y-120=4y+12\\-120\neq12$

Thus the equation given in the problem has no solution.

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