83x + P = 83x + Q <em>subtract 83x from both sides</em>
P = Q
The equation has no solution for P different Q (P ≠ Q).
Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
___
Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Answer:
Step-by-step explanation:
Expand:
Add 27 to both sides:
Add 12x to both sides:
Divide both sides by 4:
So,
Multiply both sides by 11.
Divide both sides by 7.
f = 1
Check.
This checks.
S = {1}
Answer:
4x
+
5
y
=
15
Step-by-step explanation: