5x - 3 = 7x + 11
x=-4
3w -4 = w+8
w =6
Please check. Thanks
Let's substitute.
(5 * -4) - 3 = (7 * -4) + 11
-20 - 3 = -28 + 11
-23 = - 17
Nope. That doesn't work.
(3 * 6) - 4 = 6 + 8
18 - 4 = 14
14 = 14
Yep. This one works!
5x - 3 = 7x + 11
x=-4 <------------ No
5x-7x = 11+3
-2x = 14
x = -7
3w -4 = w+8
w =6 < --------- Yes
To check the solutions for the given equations, we substitute the values of x and w back into the original equations and see if they satisfy the equations.
1. For the equation 5x - 3 = 7x + 11 and x = -4:
Substituting x = -4, we get:
5(-4) - 3 = 7(-4) + 11
-20 - 3 = -28 + 11
-23 = -17
The left side of the equation, -23, does not equal the right side, -17. Therefore, x = -4 is not a valid solution for the equation 5x - 3 = 7x + 11.
2. For the equation 3w - 4 = w + 8 and w = 6:
Substituting w = 6, we get:
3(6) - 4 = 6 + 8
18 - 4 = 14
The left side of the equation, 18 - 4, equals the right side, 14. Therefore, w = 6 is a valid solution for the equation 3w - 4 = w + 8.
Hence, the solution for the first equation is incorrect, but the solution for the second equation is valid.