Question

What is the value of the x variable in the solution to the following system ofequations? (5 points)4x - 3y = 35x - 4y = 3O x can be any number as there are infinitely many solutions to this systemThere is no x value as there is no solution to this systemO-303

Answer 1

Step 1:

Write the two systems of equations

4x - 3y = 3

5x - 4y = 3

Step 2:

Use the elimination method to eliminate y.

`\begin{gathered} 4x\text{ - 3y = 3} \\ 5x\text{ - 4y = 3} \\ \text{Use the elimination method to eliminate y} \\ 4x\text{ - 3y = 3 }*\text{ 4} \\ 5x\text{ - 4y = 3 }*\text{ 3} \\ 16x\text{ - 12y = 12} \\ 15x\text{ - 12y = 9} \\ 16x\text{ - 15x = 12 - 3} \\ \text{ x = 3} \end{gathered}`

Final answer

x = 3