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Solve the system of equations by elimination:x9_3~I +9(1,y)...

Question

Solve the system of equations by elimination:x9_3~I +9(1,y)

Solve the system of equations by elimination: x 9 _3 ~I + 9 (1,y)



Answers

Solve the system by either the substitution or the elimination method. $$ \left\{\begin{array}{l} {y=-3 x+9} \\ {y=x+1} \end{array}\right. $$

We're going to solve the system using the elimination method. So let's start by adding the equations together because the white terms will be eliminated and we get three x equal. Six. Divide both sides by two and by three, and we have X equals two. Now we need to find why. So we can substitute to infer X into one of the equations, and I'll use the 2nd 1 Two plus y equals nine. So why, KAL seven? So our solution is the 70.27

We have to solve the given system off equation by using elimination mattered on. We have to check the solution also. So the given equations are three X minus. Why? Requirements to nine on the second equation is explicit by illegals to minus one. Let this equation be as one on this equation B s too. Now I'll going toe art board the question So we get three x minus y and the colts nine. First equation on. We'll write the second equation below. This explains why every quilts to minus one. Now let's art board the equation. So yet three explosive x is for X minus one plus survival. Cancel out on the hair will get eight from here the value of expires too. Now I'm going to substitute the value of X in the equation. Tau began subsidiary in equation one. Also, it's up to you on the real will be seen So we'll get to plus y is equal to minus one from her the value of wise minus one minus two, which is my mystery. So we get we have got the value of X as a two and the value of y as minus tree Now let's take the solution. Also for this. I'm going to plug all these values that is X and Y, And any of the equation said to Let's put an equation, too. You can put an equation one also it's up to you. The result would be seen so two plus minus tree is equal to minus one. So after simplification in the left hand side of the equation will get minus one is equal to minus one, which is true. That means the left side of the question comes out to be equal to the right side of the equation. So we have verified that the result of The Apprentice, correct. I hope you got the problem. Thank you.

All right. I think it would be great to start this problem by multiplying the second equation by 63 to get rid of the fraction. So the second equation is now nine X minus three y equals 63. And how about if we make a change to the first equation and multiply it by negative one? And that way we will have opposite ex terms and we'll be able to add our equations together. So we have negative nine X plus 10 y equals zero After multiplying that by negative one. Add the equations together and the ex terms are eliminated The white terms at 27 Why? And the constants add to 63. We can divide both sides by seven, and we get Y equals nine. Now we can go back and use our first equation. Ah, call it equation one the other one's equation, too. We use our first equation to find the value of X. So now that we know not, why is nine we have nine x minus 10 times nine equals zero So nine x minus 90 Equal zero at 92 both sides nine x equals 90 and divide by nine we get X equals 10. Let's go ahead and check our answer by plugging those numbers into equation, too. So that would be nine times 10 minus three times nine divided by 63 equals one nine times 10 is 93 times nine is 27 90 divided by 90 minus 27 is 63 63. Divided by 63 is one that checks so we can write our answer as an ordered pair x comma y 10 common nine.

Her. We have to solve the given system off equation by using elimination matter. And then we have protect the solution also. So the given equations are minus three x plus four way. Is it cool? Strain on the second equation is nine X minus 12 I as equal to minus 27. Now, let this be as equation One on this B s equation, too. Now I really going to multiply the equation one with the tree. So I get minus and Nynex plus 12. I recalled to 27. I've just multiplied that this equation by three. Andi, I'll write the second equation below this getting Nynex minus 12. I equals two minus two. Any seven now I'm going toe. Add both the equation so you get zero hair minus an expression and x zero. Similarly, zero hair are This is also 00 is equal to zero, but we're not ableto sold equation. So let us assume that X is a girl's toe. A Where is any real number? Now? I'm going to plug the value of X in equation one. You can put it in question tool. So it's up to you. It's one of the same thing that really would be same. So I'll get two minus three times off a plus, four way a sequel train. So four y is equal to nine plus three A or we can say that. Why, as calls too nine plus three A divide. Rightful. So we have a plane, the valley off X as And why, As nine plus three by four here, we can compute that the solution of the given to equation totally depends on the value of a Hence, the given system off equation is dependent system because it depends on the value of a I hope you got the problem. Thank you.


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