Question

Given the equation 3x + y = -4, how do you solve for y?

Answer 1

Hint: To solve the given equation to y, we have to check the type of the equation as whether it is a linear equation or quadratic equation or any other. They make sure to get all the terms with y to the LHS and the remaining terms to the RHS so that we can take y common from the terms which contain y, then make sure to keep only y in the LHS and take all the remaining terms to the RHS.

Complete step by step solution:
Here the given equation is as below,
3x + y = -4
Subtract 3x from both sides i.e. LHS and RHS
\[\Rightarrow \] 3x + y – 3x = -4 – 3x
+3x and -3x gets cancelled from the LHS, so we get,
\[\Rightarrow \] + y = - 4 – 3x

The above equation is now solved for y as we can see y in the LHS and so we the required answer for the given question as mentioned below,
\[\Rightarrow \] y = - 4 – 3x.

Note: Here it is important for us to identify all the terms with y in the given quadratic equation to separate them from the other terms to make sure that we take y common from them. It is also necessary for us to keep only y in the LHS and all other terms to the RHS. Students should be aware of the signs while taking the terms from LHS to RHS and vice versa.