Which linear system of equations does the matrix represent? (1 point) Responses ⎧⎩⎨⎪⎪−3y=25y=315y=−10 ⎧⎩⎨⎪⎪−3x=25x=315x=−10 {−3x+5y=152x+3y=−10 {−3x+5y=−10
The matrix represents the linear system of equations:
{-3x + 5y = 15
2x + 3y = -10}
The matrix represents the linear system of equations:
⎧⎩⎨⎪⎪−3x+5y=15
2x+3y=−10
To determine which linear system of equations the given matrix represents, we need to analyze the coefficients of the variables in each equation.
The given matrix can be represented as:
⎡ −3 5 ⎤
⎣ 2 3 ⎦
To find the corresponding linear system of equations, we will set up an equation for each row of the matrix:
From the first row:
-3x + 5y = 15
From the second row:
2x + 3y = -10
Therefore, the linear system of equations represented by the given matrix is:
-3x + 5y = 15
2x + 3y = -10