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Solve the following set of equations_6T1 712 OT3 : ~22 301 212 ST3 =22 12*1 IlTz 20...

Question

Solve the following set of equations_6T1 712 OT3 : ~22 301 212 ST3 =22 12*1 IlTz 20

Solve the following set of equations_ 6T1 712 OT3 : ~22 301 212 ST3 =22 12*1 IlTz 20



Answers

Solve each equation. See Sections 2.1 and 6.5. $$ 3 x-7=12 $$

In this problem, we need to solve the equation. Five plus seven times X plus one equals 12 plus 10 X. Before we begin solving, we need to see if we can simplify any of the sides of the equation on an equation. We have a left side of the equal sign and a right side, so we want to get both sides simplified before we start moving and combining items. So let's start on the left side, the left side. I have a parentheses which we need to remove. First, we're going to do that by doing distributive property. So that means we're gonna multiply seven times X and seven times one. When I do that, I'm gonna bring my five down and I'm gonna get seven X plus seven and then I'm gonna bring my right side down as well. So 12 plus 10 X now my right side is simplified, so I'm not gonna do anything else on that side. But I do notice on the left, I have some light terms. I have a positive five that doesn't have a variable. I also have a positive seven that doesn't have a variable, since both of them don't have variables. They are like terms, so I can go ahead and combine 12 5 and seven and get 12. So I'm left with 12 plus seven X equals 12 plus T and X. So now we can start solving for X. We're gonna get our X on the left side, and we're gonna get all other numbers on the right. So by doing that, I'm going to start off by subtracting 10 eggs on both sides. This will move all the numbers with X to the left side of the equal son on the right side that will cancel out. So that's gonna leave me with 12 seven x modest in X will give me negative three. X equals 12. Now we need to move any terms that do not have my variable to the right side. So I'm gonna move the 12 that's on the left by subtracting it because it's positive we need this attracted to the right side. That's gonna cancel out on the left side and leave me with negative three X and 12 minus 12 is zero. From here we haven't X times and negative three, so we need to divide by negative three, which is going to cancel out on the left side and leave me with X and zero divided by negative three. Any number divided by zero is always sorry. I said that backwards zero divided by eating number is always zero. So in this equation, X equals zero.

We have given a system offline. Eric Vision that is 2.1, multiplied by X minus 3.5, multiplied by why is equal to 1.2 1.4 multiplied by X plus 2.6 multiplied by by is equal to 1.1. We have to solve the system, open genetic face and first we multiply. It isn't one and equal isn't toe both by 10 vigor. This is a quarto. It means if we solve this, then we get this. It's quarto 21 x minus 35. Why is it we're good? We're and 14 x plus 26. Why is it whereto it level now? Multiply equation one by two Murdoch like prison three by two and decrease and four by to the vigor 42 x minus 70 way is worth 24 14 Tereza, 42 x plus 26 multiplied by +32 means plus 78. Why is equal to territory? And if we subject them, then vigour minus 148. Why is it were minus nine? Vigor Advice is 1/4 to 9. Divided by 148. This is approximately zero point Gino 608 This is the very you off. Why now replaced the value of fighting the crescent? One we get or press develop via Nick isn't three vigor 21 x minus 30 Multiplied by 0.608 multiplied by X is equal to well multiplied by one for a bigot from here, X is equal toe 14.1 toe eight divided by 21 or we get X. It's approximately 0.67 to 7. This is the value off X.

All right, Here's the system of equations that we're going to solve with the addition Subtraction method. I'm going to start by multiplying both equations by 10 to get rid of the decimal numbers. So we have 21 x minus 35 y equals 12 and we have 14 X plus 26 way equals 11. Okay, so next we want to get the coefficients on X or Y to be the same or opposite. So I'm going to multiply the first equation by two. So we get a 42 x and multiply the second equation by three. So we get a 42 X and then subtract the equations from the second equation from the first, and that will eliminate the X terms. So that leaves us with negative 148. Why equals negative nine. So when we divide, we get Y equals 91 48th and that doesn't reduce. So that's everybody's favorite fraction. So now we're gonna go ahead and find the value of X. So we have 21 x minus 35 times 91 48th is equal to 12. Okay, lets see if we can simplify 35 times 9/1 48. I'm going to put that into my calculator and ask my calculator to reduce that for me. 35 times nine divided by 1 48 And let's see here got no one to use your tools effectively. Looks like it doesn't reduce. So 21 x minus 315 1 48th is equal to 12. Let's figure out what 12 is in terms of 1 48th So 1 48 times 12 17 76 17 76 1 48th Okay, so we're going to add 315 1 48th to both sides. So let's figure out what 315 plus 17 76 is. That gives us 2091 look and then we're going to divide both sides by 21. And then once again, we're gonna check with the calculator to see if this fraction will reduce. So let's take 2091 divided by 21 also divided by 1 48 and we end up with I don't think it reduced very much. 697 over 1036. So this ordered pair would be X comma y 6 97 over 1036 comma 9/1 48

So you were five plus seven times X plus one a cools 12 plus 10 x distribute the seven. So I have five plus seven x plus seven equals 12 plus 10 x Combined my leg terms five and seven makes 12 so 12 plus seven x equals 12 plus 10 x. Let's get my numbers to be on the right side, so subtract 12 chances out so seven acts equals 10 acts. Let's get my letters on the left side. Subtract 10 x So negative three X equals zero Last step. Divide by negative three X is equal to 00 is the only number that works in the sea creation.


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