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Anna35 [415]
3 years ago
10

How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12

Mathematics
1 answer:
dedylja [7]3 years ago
4 0

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

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------------------------------------------------------------------------
Find the value of y
------------------------------------------------------------------------
y  - 18  =  14
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y  =  32
------------------------------------------------------------------------
substitute y = 32 into 2 (y + 9) 
------------------------------------------------------------------------

2( y + 9 ) = 2 ( 32 + 9 )
2 (y + 9 ) = 2 (41)
2 ( y + 9 ) = 82

------------------------------------
Answer: 82
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