9514 1404 393
Answer:
(A) one solution: x = 3
(B) one solution: x = -10
(C) one solution: x = 4
Step-by-step explanation:
An equation will have one solution if it can be reduced to the form ...
ax +b = 0
It will have an infinite number of solutions if it reduces to the form ...
0 = 0
It will have no solution if it reduces to the form ...
1 = 0
__
<h3>(A)</h3>
2x + 4 (x - 1) = 2 + 4x . . . . . . given
Subtract 2 +4x from both sides and simplify
2x -6 = 0 . . . . . . . . . . . . . . one solution (x=3)
__
<h3>(B)</h3>
25 - x = 15 - (3x + 10)
Add 3x -5 to both sides and simplify
2x +20 = 0 . . . . . . . . . . . one solution (x=-10)
__
<h3>(C)</h3>
4x = 2x + 2x + 5 (x - 4)
Subtract 4x from both sides and simplify
0 = 5x -20 . . . . . . . . . . one solution (x=4)
