Question

What is the value of x in the equation 3х - 4 y = 65 when y=42

Answer 1

`\large\boxed{x=(233)/(3)=77(2)/(3)}`

Explanation:

`3x-4y=65\\\\\text{Put}\ y=42\ \text{to the equation and solve for }\ x:\\\\3x-4(42)=65\\\\3x-168=65\qquad\text{add 168 to both sides}\\\\3x-168+168=65+168\\\\3x=233\qquad\text{divide both sides by 3}\\\\(3x)/(3)=(233)/(3)\\\\x=(233)/(3)`

Answer 2

Explanation:

3x - 4y = 65......when y = 42....so sub in 42 for y

3x - 4(42) = 65

3x - 168 = 65

3x = 65 + 168

3x = 233

x = 233/3 or 77 2/3