Answer:
The solution to the system of linear equations is (a, b) = (-3/11, -49/11).
Option (B) is true.
Explanation:
Let's consider the following system of linear equations:
Equation 1: 2a - b = -5
Equation 2: 3a + 4b = 17
To solve this system, we can use various methods such as substitution, elimination, or matrix methods. Let's solve it using the substitution method:
From Equation 1, we can express b in terms of a:
b = 2a + 5
Substituting this value of b into Equation 2:
3a + 4(2a + 5) = 17
3a + 8a + 20 = 17
11a + 20 = 17
11a = -3
a = -3/11
Substituting the value of a back into Equation 1:
2(-3/11) - b = -5
-6/11 - b = -5
b = -5 + 6/11
b = -55/11 + 6/11
b = -49/11
Therefore,
The solution to the system of linear equations is (a, b) = (-3/11, -49/11).
Option (B) is true.
Equation 1: 2a - b = -5
Equation 2: 3a + 4b = 17
What is the solution (a, b) to this system of linear equations?
A) (0, -27)
B) (-3/11, -49/11).
C) (0, 7)
D) (27, 6)