Question

Y+7=-3/2(x+1) write in standard form

Answer 1

The standard form of the given linear equation is 3x + 2y = -17.

Step-by-step explanation:

To write the equation y + 7 = -3/2(x + 1) in standard form, we need to manipulate the equation so it is in the form of Ax + By = C, where A, B, and C are integers, and A is non-negative.

1. Distribute the fraction on the right side: y + 7 = -3/2 x - 3/2.
2. Multiply every term by 2 to eliminate the fraction: 2y + 14 = -3x - 3.
3. Rewrite the equation, arranging the terms with x and y on the left and constants on the right: 3x + 2y = -3 - 14.
4. Combine the constants to finalize the standard form: 3x + 2y = -17.

Therefore, the standard form of the given linear equation is 3x + 2y = -17.