Write y= -2/3x +7 in standard form using integers.
2x/3 + y = 7
Multiply both sides by 3:
2x + 3y = 21
To write the equation y = -2/3x + 7 in standard form using integers, we need to eliminate the fraction and rearrange the terms in the equation.
Multiply both sides of the equation by 3 to eliminate the fraction:
3y = -2x + 21
Next, bring the terms to one side of the equation:
2x + 3y = 21
Now, rearrange the equation so that the coefficients of x and y are positive integers:
2x + 3y - 21 = 0
Therefore, the equation y = -2/3x + 7 in standard form using integers is 2x + 3y - 21 = 0.
To convert the equation y = -2/3x + 7 into standard form using integers, we need to eliminate the fraction by multiplying each term by the denominator, which in this case is 3.
First, let's rewrite the equation using parentheses to avoid confusion:
y = (-2/3)x + 7
Now we can start by multiplying each term by 3:
3y = 3 * (-2/3)x + 3 * 7
Simplifying, we get:
3y = -2x + 21
Next, we want the equation to be in the form Ax + By = C, where A, B, and C are integers. To achieve this, we need to move all the terms to one side, so let's subtract -2x from both sides:
-2x + 3y = 21
And voila! The equation y = -2/3x + 7 can be written in standard form using integers as -2x + 3y = 21.