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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