Algebra 1 help » Equations / Inequalities » equipment of Equations » Equations / equipment Sets » just how to uncover the solution for a device of equations

A cube has a volume of  . If its width is  , its length is  , and also its height is  , discover .

You are watching: Finding the solution set of an equation    Explanation:

Since the thing in question is a cube, every of that sides must be the exact same length. Therefore, to acquire a volume of  , every side have to be equal to the cube source of , i m sorry is cm.

We deserve to then collection each expression equal to .

The first expression   or , but the various other two expressions make it obvious that the equipment is .

Explanation:

The most simple technique for addressing systems the equations is come transform one of the equations therefore it permits for the canceling the end of a variable. In this case, we deserve to multiply by to gain .

Then, we can include come this equation to productivity , for this reason .

We can plug that value into either of the original equations; for example, .

So, as well.

Explanation:

By fixing one equation because that , and also replacing in the various other equation through that expression, you generate an equation of just 1 variable which have the right to be easily solved.

Explanation:  To settle this device of equations, use substitution. First, convert the second equation to isolate . Then, substitute right into the very first equation for .  Combine terms and also solve for .  Now the we understand the worth of , we have the right to solve because that  Explanation:

When we include the two equations, the and variables publication leaving united state with: which method there is no equipment for this system.

Explanation:

First, combine like terms to obtain . Then, subtract 12 and from both sides to different the integers from the "s to get . Finally, division both sides by 3 to get .

Explanation:

We are provided the complying with system the equations:  We are to find and also . We can solve this through the substitution method. First, substitute the 2nd equation into the first equation to get Solve for by adding 4x to both sides    Divide through 7  So . Usage this value to find using among the equations native our provided system of equations. I think I"ll usage the an initial equation (can likewise use the 2nd equation).

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