Question

Which system of equations correspond to this matrix equation?

Answer 1

Answer:

5x + 2x = -7  

3y - 4y = -6

Step-by-step explanation:

Given the matrix, we can multiply across the constant matrix and down the  variable matrix

5x +2y = -7

3x -4y = -6

Answer 2

Answer: (C)

Step-by-step explanation:

When multiplying matrices:

Row 1 x Column 1 = the value in Row 1 Column 1

• $\left[\begin{array}{cc}5&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -7$
• ⇒ 5(x) + 2(y) = -7
• ⇒ 5x + 2y = -7

Row 2 x Column 1 = the value in Row 2 Column 1

• $\left[\begin{array}{cc}3&-4\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -6$
• ⇒ 3(x) + -4(y) = -6
• ⇒ 3x - 4y = -6

Combine the two equations to get:

$\left \{ {{5x + 2y = -7} \atop {3x - 4y = -6}} \right$