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2a+19b
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2a+19b
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12a+10b-3c-10a-\left(-9b\right)-\left(-3c\right)
To find the opposite of 10a-9b-3c, find the opposite of each term.
12a+10b-3c-10a+9b-\left(-3c\right)
The opposite of -9b is 9b.
12a+10b-3c-10a+9b+3c
The opposite of -3c is 3c.
2a+10b-3c+9b+3c
Combine 12a and -10a to get 2a.
2a+19b-3c+3c
Combine 10b and 9b to get 19b.
2a+19b
Combine -3c and 3c to get 0.
12a+10b-3c-10a-\left(-9b\right)-\left(-3c\right)
To find the opposite of 10a-9b-3c, find the opposite of each term.
12a+10b-3c-10a+9b-\left(-3c\right)
The opposite of -9b is 9b.
12a+10b-3c-10a+9b+3c
The opposite of -3c is 3c.
2a+10b-3c+9b+3c
Combine 12a and -10a to get 2a.
2a+19b-3c+3c
Combine 10b and 9b to get 19b.
2a+19b
Combine -3c and 3c to get 0.
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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