Given the equation 2 x + 3 y = 10 2x+3y=10 what is the missing variable shown below? (__, 8)

Here we are given the equation 2x plus 3y equals 10. What is the missing variable shown below? Now in our ordered pair, the form x y, I can see it's the x variable that's missing. We have the y. So what that means is I can replace my y variable with eight, and then solve for x. So let's go about doing that. So we're going to have two x plus three times y. And I can see that y is eight, so that's gonna be three times eight, and all of this is equal to 10. Now three times eight is going to give us 24, and that equals 10. Now I can subtract this 24 on both sides of the equal sign. That's gonna get the 20 fours to cancel, leaving me with two x is equal to ten minuteus 24, which is negative 14. Then I can divide both sides of the equal sign by two, canceling the twos about there, giving me that x is equal to negative 14 over two, which comes out to negative seven. So x is equal to negative seven, which is the missing x value in this ordered pair, and that is the solution to the problem.

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Multiple Choice

Given the equation $2 x + 3 y = 10$ what is the missing variable shown below?
(__, 8)

$-7$

$7$

$5$

$-5$

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Given the equation $2 x + 3 y = 10$ what is the missing variable shown below?
(__, 8)