Find the missing coordinate to complate the ordered-pair solution to the given linear equation.
9y+7x=-63
(a) (-9,0)
(b) (? ,7)
b) let y = 7
63 + 7x = -63
7x = -126
x = -18
To find the missing coordinate to complete the ordered-pair solution, we need to substitute the given values into the equation and solve for the missing variable.
Let's start with option (a) (-9,0):
Substituting the values x = -9 and y = 0 into the equation 9y + 7x = -63, we have:
9(0) + 7(-9) = -63
0 - 63 = -63
-63 = -63
This equation is true, which means that (-9,0) satisfies the given linear equation.
Now let's move on to option (b) (? , 7):
Substituting the value x = ? (the missing coordinate) and y = 7 into the equation 9y + 7x = -63, we have:
9(7) + 7x = -63
63 + 7x = -63
7x = -126
x = -126 / 7
x = -18
Therefore, the missing coordinate in option (b) is -18. So the correct answer is (-18,7).