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

2 Answers

5 votes

Answer:

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}

User Grandia
by
8.5k points
6 votes

Answer:

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.

User APalmer
by
8.0k points

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