Question

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

Answer 1

`\boxed{x=R}`, where R stands for all real numbers.

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.

`2x+y=18` Subtract
`2x` from both sides to isolate the
`y`.

`\boxed{y = -2x + 18}`

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

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

`6x+3(-2x+18) =54` Distribute the coefficient of the equation.

`6x -6x + 54 = 54` Simplify the equation.

`0 = 0`

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