Final answer:
The value of the expression 3x₁ + 2y₁ - 2x₂ + y₂ with the given variable values is -6. So, none of the given options are correct.
Step-by-step explanation:
The student asked to evaluate the expression 3x₁ + 2y₁ - 2x₂ + y₂ given the values x₁ = −1, x₂ = 4, y₁ = 1, and y₂ = 3.
To solve this, we substitute the given values into the expression:
3(-1) + 2(1) - 2(4) + 3 = -3 + 2 - 8 + 3.
Then we perform the arithmetic:
-3 + 2 = -1, and -8 + 3 = -5.
Adding both results, we obtain -1 - 5, which equals -6.
Therefore, the value of the expression is -6.
None of the given options are correct.
Expression evaluation refers to the process of computing or determining the value of a mathematical expression.
A mathematical expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a certain mathematical relationship.
Question: Evaluate the expression 3x₁ + 2y₁ - 2x₂ + y₂ when x1=−1, x2=4, y1=1, and y2=3.
a. 52
b. 46
c. 38
d. 32