Write y = – x + 7 in standard form using integers. (1 point) Responses 2x + 3y = 21 2 x + 3 y = 21 3x – 2y = 21 3 x – 2 y = 21 –2x – 3y = 21 –2 x – 3 y = 21 –2x + 3y = 7
The correct answer is 2x + 3y = 21.
To write the equation y = -x + 7 in standard form using integers, we need to rearrange the equation so that the x and y terms are on the same side.
Start by adding x to both sides of the equation:
x + y = 7
To ensure that the coefficients of x and y are integers, multiply both sides of the equation by -1:
-x - y = -7
Finally, we can multiply both sides of the equation by -1 again to make the coefficient of x positive:
x + y = 7
So, the equation y = -x + 7 in standard form using integers is x + y = 7.
To convert the equation y = –x + 7 into standard form, which is Ax + By = C where A, B, and C are integers, we need to rearrange the terms.
Start with the given equation:
y = –x + 7
Multiply both sides of the equation by -1 to change the signs of the terms:
-y = x - 7
Now, let's rearrange the terms so that the x and y terms are on the same side:
x + y = 7
Since the standard form requires the coefficients A, B, and C to be integers, we can rewrite the equation as:
1x + 1y = 7
Therefore, the equation y = –x + 7 can be written in standard form as 1x + 1y = 7.