{5a+3b = 42
{3a - b = 14
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Simplifying
5a + 4b + -2a + 3b = 0
Reorder the terms:
5a + -2a + 4b + 3b = 0
Combine like terms: 5a + -2a = 3a
3a + 4b + 3b = 0
Combine like terms: 4b + 3b = 7b
3a + 7b = 0
Solving
3a + 7b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-7b' to each side of the equation.
3a + 7b + -7b = 0 + -7b
Combine like terms: 7b + -7b = 0
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5a=42-3b
a=42/5-3/5b
3(42/5-3/5b)-b=14
126/5-9/5b-b=14
-9/5b-b=14-126/5
-14/5b=-56/5
b= -56/5 : -14/5
b=4
a=42/5-3/5*4
a=6
a=42/5-3/5b
3(42/5-3/5b)-b=14
126/5-9/5b-b=14
-9/5b-b=14-126/5
-14/5b=-56/5
b= -56/5 : -14/5
b=4
a=42/5-3/5*4
a=6
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