3x-4y+9=3(10)-4(5)+9

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Solution for 3x-4y+9=3(10)-4(5)+9 equation:


Simplifying
3x + -4y + 9 = 3(10) + -4(5) + 9

Reorder the terms:
9 + 3x + -4y = 3(10) + -4(5) + 9

Multiply 3 * 10
9 + 3x + -4y = 30 + -4(5) + 9

Multiply -4 * 5
9 + 3x + -4y = 30 + -20 + 9

Combine like terms: 30 + -20 = 10
9 + 3x + -4y = 10 + 9

Combine like terms: 10 + 9 = 19
9 + 3x + -4y = 19

Solving
9 + 3x + -4y = 19

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + 3x + -9 + -4y = 19 + -9

Reorder the terms:
9 + -9 + 3x + -4y = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 3x + -4y = 19 + -9
3x + -4y = 19 + -9

Combine like terms: 19 + -9 = 10
3x + -4y = 10

Add '4y' to each side of the equation.
3x + -4y + 4y = 10 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 10 + 4y
3x = 10 + 4y

Divide each side by '3'.
x = 3.333333333 + 1.333333333y

Simplifying
x = 3.333333333 + 1.333333333y

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