Given the equation 2 x + 3 y = 10 2x+3y=10 what is the missing variable shown below? (5,__)

Given the equation 2x plus 3y equals 10, what is the missing variable shown below? So notice that we have our ordered pair in the form Now x is given to us as five, but the y is the unknown here. So So that's what we're going to find in this video. Well I can see that our equation is 2x plus 3y equals 10, and if we're given x that means two times five plus 3y is equal to 10. So notice I just took that x and replaced it with the x that were given in our ordered pair, which is five. Now two times five will give us 10. That's gonna be plus three y equals 10. And notice something happens here. I can subtract the 10 on both sides of this equal sign. That'll get the ten's to cancel right about there, leaving me with just three y. And 10 minus 10 is zero. So I can just divide out this three on both sides of the equal sign. And zero divided by three, or anything that you divide into zero, is just going to give you zero. So we get y equals zero, and that is the solution to this ordered pair. That's how you solve the problem.

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Multiple Choice

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

$2$

$0$

$20 over 3$

$- \frac{20}{3}$

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검증된 단계별 안내

Start with the given equation: $2x + 3y = 10$.

You are given the x-value as 5, so substitute $x = 5$ into the equation: $2(5) + 3y = 10$.

Simplify the multiplication: $10 + 3y = 10$.

Isolate the term with $y$ by subtracting 10 from both sides: $3y = 10 - 10$.

Solve for $y$ by dividing both sides by 3: $y = \frac{0}{3}$.

5:09m

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Struggling with Beginning & Intermediate Algebra?

Given the equation 2x+3y=102x+3y=10 what is the missing variable shown below?(5,__)

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