Question

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

Answer 1

Answer:

$\blue{\bold{x=R}}$ , 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.

2x+y=18

Subtract 2x from both sides to isolate the y.

$\tt{y = -2x + 18}$

• 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.