Question

(?,-3) is on the line 4x + 5y = -7. Find the other half of the coordinate.

Answer 1

Answer:  The other half of the co-ordinate is 2.

Step-by-step explanation:  Let, 'b' be the other half of the co-ordinate (?, -3) that lies on the given straight line as follows:

$4x+5y=-7~~~~~~~~~~~~~~~~~~~~~~~(i)$

So, we can say that the point (b, -3) lies on the line (i). That is, the point (b, -3) will satisfy equation (i).

Substituting (x, y) = (b, -3) in equation (i), we get

$4x+5y=-7\\\\\Rightarrow 4\times b+5\times (-3)=-7\\\\\Rightarrow 4b-15=-7\\\\\Rightarrow 4b=8\\\\\Rightarrow b=2.$

Therefore, the value of 'b' is 2.

Thus, the other half of the co-ordinate is 2. And the complete co-ordiantes are (2, -3).

Answer 2

(x,y)
sub -3 for y and solv for x

4x+5(-3)=-7
4x-15=-7
add 15
4x=8
divide 4
x=2
(2,-3) is answer