Describe when you would need to solve a system of linear equations, instead of a single linear equation

See explanation below

Step-by-step explanation:

A system of linear equations is a system that is formed when you have two or more variables, for example:

In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).

On the other side, a single linear equation has only one variable that we need to find, for example:

In this case we would just have to solve for x

Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)

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