Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
The difference between the two polynomials is 11x²3y³ - 4xy².
<h3>What is the Difference between the Polynomials?</h3>
The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
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<span>Simplifying
2x + n = 3
Reorder the terms:
n + 2x = 3
Solving
n + 2x = 3
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2x' to each side of the equation.
n + 2x + -2x = 3 + -2x
Combine like terms: 2x + -2x = 0
n + 0 = 3 + -2x
n = 3 + -2x
Simplifying
n = 3 + -2x</span>
180 - 52 = 128°
opposite sides add up to 180°