6x+3y=54 2x+y=18 system of equation using substitution

, where R stands for all real numbers.

Step-by-step explanation:

Part 1: Solving one equation for its variable

First, we need to solve one of the equations for one of its variables. I will use the second equation.

  Subtract from both sides to isolate the .

Part 2: Substituting the solved variable value into the other equation

Now, simply substitute this value in the place of the in the first equation and solve for .

   Distribute the coefficient of the equation.

   Simplify the equation.

This answer is perfectly okay to get. This means that your equations have an infinite number of solutions.

give more details

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.