7. Systems of Equations & Matrices

Introduction to Matrices

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Multiple Choice

Write the equations in standard form, then represent the system using an augmented matrix.
$3x+5y-9=0$
$8x=-4y+3$

Augmented matrix

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Start by writing the given equations in standard form. The standard form of a linear equation is Ax + By = C.

For the first equation, 3x + 5y - 9 = 0, rearrange it to get 3x + 5y = 9.

For the second equation, 8x = -4y + 3, rearrange it to get 8x + 4y = 3 by adding 4y to both sides.

Now, represent the system of equations using an augmented matrix. The coefficients of x and y, along with the constants, form the matrix.

The augmented matrix for the system is: \[ \begin{bmatrix} 3 & 5 & | & 9 \\ 8 & 4 & | & 3 \end{bmatrix} \].

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Write the equations in standard form, then represent the system using an augmented matrix.3x+5y−9=03x+5y-9=03x+5y−9=08x=−4y+38x=-4y+38x=−4y+3