Solve by using matrices. 2x – y +2 + w = -3 x + 2y – 3z + w = 12 3x - y - + 2w = 3 -2x + 3y + 2 – 3w = -3​

Some symbols and numbers are missing. I assume the system is supposed to read

2x - y + 2z + w = -3

x + 2y - 3z + w = 12

3x - y - z + 2w = 3

-2x + 3y + 2z - 3w = -3

In matrix form, this is

which we can strip down to the augmented matrix,

Now for the row operations:

• swap rows 1 and 2

• add -2 (row 1) to row 2, -3 (row 1) to row 3, and 2 (row 1) to row 4

• add 7 (row 2) to -5 (row 3), and row 3 to row 4

• multiply through rows 3 and 4 by 1/2

• add -4 (row 4) to row 3

• swap rows 3 and 4

• multiply through row 4 by 1/3

• add row 4 to row 3

• multiply through row 3 by 1/2

• add -8 (row 3) and row 4 to row 2

• multiply through row 2 by -1/5

• add -2 (row 2) and 3 (row 3) and -1 (row 4) to row 1

Then the solution to the system is (x, y, z, w) = (-1, 3, -1, 4).

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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