Question

Can someone please help?

Write y = -2/3x + 7 in standard form using integers.

a). 2x + 3y = 21 (my answer)
B) 3x – 2y = 21
C) –2x – 3y = 21
D) –2x + 3y = 7

Answer 1

standard form means, move the variables to the left-hand-side and leave the constant all by herself on the right-hand-side, usually sorting the variables, so"x" goes first.

now, there's a denominator, we can do away with it, by simply multiplying both sides by the denominator, so let's do so,


`\bf y=-\cfrac{2}{3}x+7\implies \boxed{3}\cdot y=\boxed{3}\cdot \left( -\cfrac{2}{3}x+7 \right)\implies 3y=-2x+21 \\\\\\ \stackrel{standard~form}{2x+3y=21}`