Question

rewrite the equation below in standard form.
2/3x=-5/2y+2
A. 4x+15y=12
B. 2x+15/2y=6
C. 2x+5y=4
D. 2x+5y=6

Answer 1

first lets get rid of the fractions

\[\frac{ 2x }{ 3 } = \frac{ -5y }{ 2 }+2\] mult everything by common denominator 6

\[\frac{ 6(2x) }{ 3 } = \frac{6( -5y) }{ 2 }+6(2)\] now simplify

\[\frac{ 12x }{ 3 } = \frac{-30y }{ 2 }+12\] simplify more

\[4x = -15y + 12\] now need to get x and y on same side

4x = -15y + 12
+15y +15y

4x + 15y = 12 no fractions, x coefficient is positive, now common factor