MATH SOLVE

4 months ago

Q:
# Which ordered pairs in the form (x, y) are solutions to the equation4x−5y=24Select each correct answer.(6, 0)(4, 8)(−9, −12)(1, −4)

Accepted Solution

A:

Remember that a solution to an equation is a coordinate pair that makes a true statement.

So, for each of these coordinate pairs, plug in the x coordinate for the x in your equation and the y coordinate for the y in your equation.

Example:

5x + 3y = 8;

which of these is a solution?

(1,1)

(-3, 2)

For each coordinate pair provided, I'm going to plug it back into my original equation:

SO: for (1,1)

5x + 3y = 8

5(1) + 3(1) = 8

5 + 3 = 8

8 = 8 <--- This is a true statement. (1,1) IS a solution to this equation.

For (-3,2)

5x + 3y = 8

5(-3) + 3(2) = 8

-15 + 6 = 8

-9 = 8 <---- This is NOT a true statement. (-3,2) is not a solution to this equation.

You have to do the same thing!! Plug each of your answer choices into your original equation. Solve it out. If you end up with a TRUE statement, the coordinate pair IS a solution. If you end up with a FALSE statement, the coordinate pair is NOT a solution!

So, for each of these coordinate pairs, plug in the x coordinate for the x in your equation and the y coordinate for the y in your equation.

Example:

5x + 3y = 8;

which of these is a solution?

(1,1)

(-3, 2)

For each coordinate pair provided, I'm going to plug it back into my original equation:

SO: for (1,1)

5x + 3y = 8

5(1) + 3(1) = 8

5 + 3 = 8

8 = 8 <--- This is a true statement. (1,1) IS a solution to this equation.

For (-3,2)

5x + 3y = 8

5(-3) + 3(2) = 8

-15 + 6 = 8

-9 = 8 <---- This is NOT a true statement. (-3,2) is not a solution to this equation.

You have to do the same thing!! Plug each of your answer choices into your original equation. Solve it out. If you end up with a TRUE statement, the coordinate pair IS a solution. If you end up with a FALSE statement, the coordinate pair is NOT a solution!