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3 years ago

Solve for y: 1/3y+4=16

Mathematics

2 answers:

Tasya [4]3 years ago

8 0

1/3y=16-4
1/3y=12
y=12/1/3
y= 36.3

katovenus [111]3 years ago

4 0

Hey there! I'm happy to help!

We want to isolate y on one side of the equation to see what it equals. To do this, we use inverse operations to cancel out numbers on the y side and find the correct value.

1/3y+4=16

We subtract 4 from both sides, canceling out the +4 on the right but keeping the same y-value by doing the same to the other side.

1/3y=12

We divide both sides by 1/3 (which is multiplying both sides by 3) which will cancel out the 1/3 and tell us what y is equal to.

y=36

Now you know how to solve basic equations! Have a wonderful day! :D

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Given g(x)=5x+4, solve for x when g(x)=9

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Answer:

The value of x is equal to 1, written as x = 1.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 4

g(x) = 9

Step 2: Solve for x

Substitute in function value: 9 = 5x + 4
[Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
[Division Property of Equality] Divide 5 on both sides: 1 = x
Rewrite: x = 1

∴ when the function g(x) equals 9, the value of x that makes the function true would be x = 1.

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Topic: Algebra I

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