Answer:
The values of and
for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let , if this linear system has infinitely many solutions, then the following conditions must be met:
and
.
and
The values of and
for a linear system with infinitely many solutions are -2 and 5, respectively.
The solutions for ‘x’ in the given equation are – 3 and - 7
<u>Step-by-step explanation:</u>
Given equation:
To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get
(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)
x = - 3, -7
Verify above values by multiply both terms,
(x + 3) (x + 7) = 0
(so values obtained from factor method are correct)
Or, can use quadratic formula, for , the solutions are given by:
In the given equation, a = 1, b = 10, c = 21, apply these in above formula
So,
When
When
Hence, the values for ‘x’ are - 3 and - 7