What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12
2 answers:
Answer: (x, y) = (-2, 3) is the required solution.
Step-by-step explanation: We are given to find the solution to the following system of linear equations:
Multiplying equation (i) by 3 and equation (ii) by 4, we have
Subtracting equation (iv) from equation (iii), we get
and from equation (i), we get
Therefore, the solution to the given system is x = - 2, y = 3.
Thus, (x, y) = (-2, 3) is the required solution.
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Here's what I got. Hope that helps!
T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)
A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.
Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)
and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)
So, the matrix of the transformation is
The inverse of the matrix is
So, the Inverse Transformation is given by
So, no option is correct. And the answer is
Learn more about linear transformations here-
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