x+y=7 & 5y+12y=7 sovle by substitution method
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x+y = 7..... 1
5y + 12 y =7..... 2
Simplifying
5Y + 7 = 12Y + 7
Reorder the terms:
7 + 5Y = 12Y + 7
Reorder the terms:
7 + 5Y = 7 + 12Y
Add '-7' to each side of the equation.
7 + -7 + 5Y = 7 + -7 + 12Y
Combine like terms: 7 + -7 = 0
0 + 5Y = 7 + -7 + 12Y
5Y = 7 + -7 + 12Y
Combine like terms: 7 + -7 = 0
5Y = 0 + 12Y
5Y = 12Y
Solving
5Y = 12Y
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Add '-12Y' to each side of the equation.
5Y + -12Y = 12Y + -12Y
Combine like terms: 5Y + -12Y = -7Y
-7Y = 12Y + -12Y
Combine like terms: 12Y + -12Y = 0
-7Y = 0
Divide each side by '-7'.
Y = 0
Simplifying
Y = 0
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