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So this top equation, when you multiply it by 7, it becomes-- let me scroll up a little bit-- we multiply it by 7, it becomes 35x plus 49y is equal to-- let's see, this is 70 plus 35 is equal to 105. Mye, He used a negative 5 so he could just add the two equations and the 10y and -10y become 0y and eliminate the y. How to find out when an equation has no solution - Algebra 1. When finding how many solutions an equation has you need to look at the constants and coefficients. And if you subtracted, that wouldn't eliminate any variables. They cancel out, and on the y's, you get 49y plus 15y, that is 64y. Apply the power rule and multiply exponents,.

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Does the answer help you? The negatives cancel out. However, let's substitute this answer back to the original equation to check whether if we will get as an answer. So this is equal to 25/4, plus-- what is this? Step-by-step explanation: From the question -qx + p =r. We're doing the same thing to both sides of it. Which is equal to 60/4, which is indeed equal to 15.

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Is elimination the only way to solve linear equations(30 votes). Cancel the common factor. Negative 10y plus 10y, that's 0y. Gauth Tutor Solution. And what do you get? And you could literally pick on one of the variables or another. Good Question ( 172). At2:20where did the -5 come from? Any negative or positive value that is inside an absolute value sign must result to a positive value. Systems of equations with elimination (and manipulation) (video. However, this solution is NOT in the domain. So let's say that we have an equation, 5x minus 10y is equal to 15. Use distributive property on the right side first. This is because these two equations have No solution.

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Thus, there is NO SOLUTION because is an extraneous answer. Let's figure out what x is. These aren't in any way kind of have the same coefficient or the negative of their coefficient. Combine using the product rule for radicals. We're not changing the information in the equation.

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The same thing as dividing by 7. So x is equal to 5/4 as well. Qx + p -p = r -p. The equation becomes. These lines are parallel; they cannot intersect. If we add this to the left-hand side of the yellow equation, and we add the negative 15 to the right-hand side of the yellow equation, we are adding the same thing to both sides of the equation. Because if this is a positive 10y, it'll cancel out when I add the left-hand sides of this equation. Plus positive 3 is equal to 3. Since the least common denominator of,, and is, we can mulitply each term by the LCD to cancel out the denominators and reduce the equation to. Which equation is correctly rewritten to solve for x? -qx+p=r - Brainly.com. Check the full answer on App Gauthmath. And now we can substitute back into either of these equations to figure out what y must be equal to. Let's substitute into the top equation. And I said we want to do this using elimination. That's what the top equation becomes.

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On the left hand side of the equation, the q numerator will cancel the q denominator, leaving us with only x). And if you take 5 times 5/4, plus 7 times 5/4, what do you get? Or 7x minus 15/4 is equal to 5. Which equation is correctly rewritten to solve forex trading. Enjoy live Q&A or pic answer. That was the whole point behind multiplying this by negative 5. So 5x minus 15y-- we have this little negative sign there, we don't want to lose that-- that's negative 10x. And on the right-hand side, you would just be left with a number.

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6x + 4y = 8(3 votes). Otherwise, substitution and elimination are your best options. Want to join the conversation? So let's add the left-hand sides and the right-hand sides. The answer is no solution. The answer is: Solve for: No solution. The constants are the numbers alone with no variables. And you could check out this bottom equation for yourself, but it should, because we actually used this bottom equation to figure out that x is equal to 5/4. Which equation is correctly rewritten to solve for x and x. Example Question #6: How To Find Out When An Equation Has No Solution. If you divided just straight up by 16, you would've gone straight to 5/4. But let's do 8 first, just because we know our 8 times tables. And then negative 5 times negative 2y is plus 10y, is equal to 3 times negative 5 is negative 15. Therefore, is not valid.

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How do you eliminate negative numbers? We can multiply both sides by 1/7, or we could divide both sides by 7, same thing. Let's do another one. Or I can multiply this by a fraction to make it equal to negative 7.

Rewrite the equation. Graphing, unless done extremely precisely, may lead to error. This is nonsensical; therefore, there is no solution to the equation. These cancel out, these become positive. You divide 7 by 7, you get 1. Let's multiply this equation times negative 5. If you multiply 3x + 2y = 18 by -2 (I chose -2 so when you add the equations together, variables cancel out), you get -6x - 4y = -36. That wouldn't eliminate any variables. So I'll just rewrite this 5x minus 10y here.

Now once again, if you just added or subtracted both the left-hand sides, you're not going to eliminate any variables. Let's add 15/4-- Oh, sorry, I didn't do that right. Divide both sides by 64, and you get y is equal to 80/64.

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