Question

Determine the given equation is a linear equation write yes or no. If yes, write the equation in standard form.

7n - 8m = 4 - 2m.
Use Standard form

Answer 1

The equation is linear. Standard form:

7n - 6m - 4 =0

Explanation:

Linear Equations

The linear equations are identified because all terms form a polynomial of degree 1 or zero (no variable).

The standard form of a linear equation is:

ax+by+cz+d=0

where x, y, z are the variables, and a,b,c are constants.

The equation:

7n - 8m = 4 - 2m

Is linear, both variables have an exponent of 1 and there is an independent term. Moving all terms to the left side:

7n - 8m - 4 + 2m =0

Simplifying:

7n - 6m - 4 =0