What number should be added to both sides of the equation x−7=1 to solve for the value of x ?

To solve for the value of x, we need to isolate x on one side of the equation. In this case, we need to get rid of the -7 on the left side of the equation.

To do this, we add 7 to both sides of the equation to cancel out the -7.

x - 7 + 7 = 1 + 7

This simplifies to:

x = 8

Therefore, the number that should be added to both sides of the equation x - 7 = 1 to solve for the value of x is 7.

What is the value of x in the equation x + 0.97 = -2

Please explain thoroughly

To solve for the value of x in the equation x + 0.97 = -2, we need to isolate x on one side of the equation.

First, we want to eliminate the 0.97 on the left side of the equation. To do this, we subtract 0.97 from both sides of the equation:

x + 0.97 - 0.97 = -2 - 0.97

0.97 - 0.97 simplifies to 0, so the equation becomes:

x = -2 - 0.97

To simplify further, we subtract -0.97 from -2. Subtracting a negative number is the same as adding a positive number, so we can rewrite the equation as:

x = -2 + 0.97

This simplifies to:

x = -1.03

Therefore, the value of x in the equation x + 0.97 = -2 is -1.03.

What added to 0.97 can give me -2

To find the number that when added to 0.97 gives -2, we need to set up an equation.

Let's call the number we are looking for "x". We know that adding x to 0.97 should give us -2.

So, the equation would be:

0.97 + x = -2

To solve for x, we need to isolate x on one side of the equation. To do this, we can subtract 0.97 from both sides:

0.97 + x - 0.97 = -2 - 0.97

0.97 - 0.97 simplifies to 0, so the equation becomes:

x = -2 - 0.97

To simplify further, we subtract -0.97 from -2. Subtracting a negative number is the same as adding a positive number, so we can rewrite the equation as:

x = -2 + 0.97

This simplifies to:

x = -1.03

Therefore, the number that needs to be added to 0.97 to get -2 is -1.03.

Wait turn 0.97 into a fraction

Sure!

To express 0.97 as a fraction, we can place the decimal over a denominator of 1. Then we can multiply both the numerator and denominator by a power of 10 to get rid of the decimal.

0.97 = 97/100

Therefore, 0.97 can be expressed as the fraction 97/100.

Now make -2 a fraction

To express -2 as a fraction, we can write it as -2/1. This fraction is already simplified since -2 and 1 have no common factors other than 1. Therefore, -2 can be expressed as the fraction -2/1.

Now solve the first question I asked you, but the numbers are fractions