Final answer:
To find x in the equation 501 = 578 - 3x, subtract 578 from both sides to get -77 = -3x, and then divide by -3 to solve for x, resulting in x being 25.67.
Step-by-step explanation:
The question requires solving a linear equation to find x. The equation given is 501 = 578 - 3x. To solve for x, follow these steps:
- Subtract 578 from both sides of the equation to get -77 = -3x.
- Divide both sides by -3 to solve for x. This results in x = 25.67
Therefore, the value of x is 25.67.
To solve a linear equation using the substitution method, first, isolate the value of one variable from any of the equations. Then, substitute the value of the isolated variable in the second equation and solve it. Take the same equations again for example.
Consider,
2x + 3y = 9 ———–(i)
And,
x – y = 3 ———–(ii)
Now, consider equation (ii) and isolate the variable “x”.
So, equation (ii) becomes,
x = 3 + y.
Now, substitute the value of x in equation (i). So, equation (i) will be-
2x + 3y = 9
⇒ 2(3 + y) + 3y = 9
⇒ 6 + 2y + 3y = 9
Or, y = ⅗ = 0.6
Now, substitute “y” value in equation (ii).
x – y =3
⇒ x = 3 + 0.6
Or, x = 3.6
Thus, (x, y) = (3.6, 0.6).