Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. which is the best interpretation of this solution? the equation has one solution: x = 0. the equation has one solution: x = 1. the equation has no solution. the equation has infinite solutions.

The linear equation is an identity, which means that it has infinite solutions.

We define an identity as an equation where we have the exact same expression in both sides of the equation.

For example, in:

f(x) = f(x).

Where f(x) is a function.

A easier example can be:

x + 5 = x + 5

Notice that we have the exact same thing in both sides, this is what Jilana gets when solving her linear equation.

This means that for any given value of x, the equation will be true. So, x can be any real value, which means that there are infinite solutions for the equation.

If you want to learn more about linear equations, you can read:

link

infinite solutions

Step-by-step explanation:

If the left side equals the right side, then every value you input for the variable will make a TRUE statement --> which means there are infinite solutions.

For example: x + 1 = x + 1

Any value you choose for "x" will result in a true statement.

This is because they are the same line, which is another way of showing that they have infinite solutions.

3

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3