( 4,3 ) 2 x + 4 y = 3
Solve for x
x=\frac{15-20y}{43}
Solve for y
y=-\frac{43x}{20}+0,75
Graph
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8,6x+4y=3
Multiply 4,3 and 2 to get 8,6.
8,6x=3-4y
Subtract 4y from both sides.
\frac{8,6x}{8,6}=\frac{3-4y}{8,6}
Divide both sides of the equation by 8,6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{3-4y}{8,6}
Dividing by 8,6 undoes the multiplication by 8,6.
x=\frac{15-20y}{43}
Divide 3-4y by 8,6 by multiplying 3-4y by the reciprocal of 8,6.
8,6x+4y=3
Multiply 4,3 and 2 to get 8,6.
4y=3-8,6x
Subtract 8,6x from both sides.
4y=-\frac{43x}{5}+3
The equation is in standard form.
\frac{4y}{4}=\frac{-\frac{43x}{5}+3}{4}
Divide both sides by 4.
y=\frac{-\frac{43x}{5}+3}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{43x}{20}+\frac{3}{4}
Divide 3-\frac{43x}{5} by 4.
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