Create a visual depiction of an equation being solved. Draw a balance representing both sides of an equation, on one side show the letter 'x' minus 3.41 balanced with -19 on the other side. Around this balance, illustrate four instructions: 'add 3.41'; 'subtract 3.41'; 'add 19'; and 'subtract 19'. Ensure the depiction is conceptually appealing and interesting, highlighting the process of solving an equation but does not contain any text.

Which of the following should be done to both sides of the equation x − 3.41 = −19 to solve the value of x ?(1 point)

Responses

subtract 19
subtract 19

add 19
add 19

subtract 3.41
subtract 3.41

add 3.41

To solve for the value of x, you should add 3.41 to both sides of the equation.

To solve the value of x in the equation x − 3.41 = −19, you should add 3.41 to both sides of the equation.

To solve for the value of x in the equation x - 3.41 = -19, you need to perform the same operations on both sides of the equation to keep it balanced.

1. The options "subtract 19" and "add 19" suggest performing addition/subtraction of 19, but this won't lead to the correct solution. We want to isolate the value of x, not change the value on the other side of the equation.

2. The option "subtract 3.41" is a step in the right direction. Subtracting 3.41 from both sides will eliminate the -3.41 on the left side of the equation.

3. The correct step to solve for x is "add 3.41". By adding 3.41 to both sides of the equation, you'll get:

x - 3.41 + 3.41 = -19 + 3.41

Simplifying, you'll have:

x = -15.59

So, adding 3.41 to both sides of the equation helps you find the value of x, which is -15.59.