Math

QuestionChoose all equivalent equations to: 7=7y7=7-y. Options are: 3=7y43=7-y-4, 7=7y27=7-y-2, 4=7y34=7-y-3, 2=7y52=7-y-5.

Studdy Solution

STEP 1

Assumptions1. The given equation is 7=7y7=7-y . We are to find equivalent equations from the given options3. We will use properties of equality to determine the equivalent equations

STEP 2

We can rewrite the given equation by adding yy to both sides to isolate yy on one side. This is done using the addition property of equality.
7+y=77+y=7

STEP 3

Next, we subtract7 from both sides of the equation to solve for yy. This is done using the subtraction property of equality.
y=77y=7-7

STEP 4

Calculate the value of yy.
y=0y=0

STEP 5

Now, we will substitute y=0y=0 into each of the given equations to check if they are equivalent to the original equation.For the first equation, substitute y=0y=03=7043=7-0-4

STEP 6

Calculate the right side of the equation.
3=43=-43=33=3

STEP 7

The left and right sides are equal, so the first equation is equivalent to the original equation.
For the second equation, substitute y=0y=07=7027=7-0-2

STEP 8

Calculate the right side of the equation.
7=727=7-27=57=5

STEP 9

The left and right sides are not equal, so the second equation is not equivalent to the original equation.
For the third equation, substitute y=y=4=734=7--3

STEP 10

Calculate the right side of the equation.
4=734=7-34=44=4

STEP 11

The left and right sides are equal, so the third equation is equivalent to the original equation.
For the fourth equation, substitute y=0y=0=705=7-0-5

STEP 12

Calculate the right side of the equation.
2=752=7-52=22=2

STEP 13

The left and right sides are equal, so the fourth equation is equivalent to the original equation.
The equations equivalent to the original equation are3=7y3=7-y-=7y3=7-y-32=7y52=7-y-5

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