8x-y=19

y+3x=7

How do you put the y under the y and the x under the x?

This question address how to rewrite equation.

Solution

The following steps teach students rewriting equations:

1. Isolate the variable you want to put the original equation under.

Equation 1: 8x-y=19

For y

-y = 19-8x

For x

8x = 19 + y

Equation 2: y+3x=7

For y

y = 19-3x

For x

3x = 7-y

2. Simply.

Equation 1: 8x-y=19

For y

-y = 19-8x

-1(-y = 19-8x)

y = -19+8x

For x

8x = 19 + y

-----------

8

x = 2.375 + 0.125y

Equation 2: y+3x=7

For y

y = 19-3x ===> already simplified

For x

3x = 7-y

--------

3

x = 2.33 - 0.33y

3. Rearrange

Equation 1: 8x-y=19

For y

-y = 19-8x

-1(-y = 19-8x)

y = -19+8x

y = 8x - 19

For x

8x = 19 + y

-----------

8

x = 2.375 + 0.125y

x = 0.125y + 2.375

Equation 2: y+3x=7

For y

y = 19-3x ===> already simplified

y = -3x + 19

For x

3x = 7-y

--------

3

x = 2.33 - 0.33y

x = -0.33y + 2.33

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