2/7m-1/7=3/14

Please solve showing work

Solution for

It is a case about one variable linear quations and we have to solve the equation to get the variable m.

Our main goal is to isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to the value on the opposite side.

Let us add to both sides:

On the right side for the addition operation, we equate the common denominator by multiplying

Then we combine terms to get:

We divide by the coefficient of m, or in other words, multiply both sides by :

Finally, the solution is obtained as follows

We simplify fractions, both the numerator and denominator are divided equally by 7.

In the form of mixed fractions, we get:

In decimal form, we get

Wanna check the solution into the equation?

Both sides show the same value, so the solution is correct.

These are quick steps in summary:

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

In the form of fractions, the steps that must be considered are

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation.

Let's practice a lot until you get used to and know which operations should be done first.

Grade       : Middle School

Subject     : Mathematics

Chapter    : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14,  5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal,

or

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.