Question

For the equation 4x+5y-7=0, find the missing coordinate of the Solution ordered pair so that it is a solution. (-2,?)

Answer 1

The missing coordinate is 3.

Explanation:

Our task is to find the missing coordinate, which happens to be the y-coordinate.

Given:

• An equation, 4x + 5y - 7 = 0
• The X-coordinate, -2

To find:

• The Y-coordinate

Solution:

• Replace x with -2.

`\sf{4(-2)+5y-7=0}`

Then, solve for 'y'.

`\sf{-8+5y-7=0}`

Combine the like terms:

`\sf{5y-7-8=0}`

`\sf{5y-15=0}`

Add 15 to both sides:

`\sf{5y=15}`

Divide both sides by 5:

`\sf{y=3}`

Answer 2

y = 3

Explanation:

Pre-Solving

We are given the following equation:

4x + 5y - 7 = 0

We want to find the y value of the ordered pair (-2,?), which is our solution. We already know that the value of x in the solution is -2.

To do this, we should substitute -2 as x into the equation, as then the only variable that will be left will be y.

Solving

Substitute -2 as x.

4(-2) + 5y - 7 = 0

-8 + 5y - 7 = 0

-15 + 5y = 0

Add 15 to both sides.

5y = 15

Divide both sides by 5.

y = 3

This is the value of the missing coordinate.