Question

−3x+7y=5x−2y Complete the missing value in the solution to the equation. (−5,___)

a) -7
b) 4
c) 2
d) -2

Answer 1

By substituting x with -5 into the equation -3x + 7y = 5x - 2y and solving for y, we find that the complete solution is (-5, -4), which corresponds to option d.

Step-by-step explanation:

The equation given is −3x + 7y = 5x − 2y. To find the missing value for the solution (-5,_), we will substitute x with −5 and solve for y.

First step is rearranging the equation:

1. Combine like terms by moving all terms involving x or y to one side.
2. 7y + 2y = 5x + 3x
3. 9y = 8x
4. Now, substitute x = -5 into the equation:
5. 9y = 8(-5)
6. 9y = -40
7. Finally, solve for y:
8. y = −4/9

The missing value in the solution to the equation is −4. Therefore, the completed solution is (-5, −4), which corresponds to option d.