Solve a+b=0 a-3+c=0 b+c-3

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Type your math problem... a+b=0 a-3+c=0 b+c-3

Question

Solve the system of equations

(a, b, c) = (- 3 + c - b, b, c), (b, c) \in R^{2}

Alternative Form

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Evaluate

{a + b = 0 \times a - 3 + c 0 \times a - 3 + c = 0 \times b + c - 3

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More Steps

Evaluate

0 \times a - 3 + c

Any expression multiplied by 0 equals 0

0 - 3 + c

Removing 0 doesn't change the value,so remove it from the expression

- 3 + c

{a + b = - 3 + c 0 \times a - 3 + c = 0 \times b + c - 3

Cancel equal terms on both sides of the expression

{a + b = - 3 + c 0 \times a + c = 0 \times b + c

Cancel equal terms on both sides of the expression

{a + b = - 3 + c 0 \times a = 0 \times b

Calculate

More Steps

Evaluate

0 \times a = 0 \times b

Any expression multiplied by 0 equals 0

0 = 0 \times b

Any expression multiplied by 0 equals 0

0 = 0

{a + b = - 3 + c 0 = 0

Rearrange the terms

a + b = - 3 + c

Solve the equation for a

a = - 3 + c - b

Solution

(a, b, c) = (- 3 + c - b, b, c), (b, c) \in R^{2}

Alternative Form

Infinitely many solutions

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