Answer:
Spruce
Step-by-step explanation:
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4
(-4,-6) is your final answer.
Answer:
LCM of 42 and 63 is 126.
Step-by-step explanation:
Find the prime factorization of 42
42 = 2 × 3 × 7Find the prime factorization of 63
63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 7LCM = 126
N in 5n + 5 = 45 is 8 because you'd subtract 5 from 45 and get 40, then divide 40 by 5 and get 8.
Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
<h3>What is logical reasoning ?</h3>
Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.
Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:
Statement 1: If I have a Labrador but not a Staffie, I also have a Collie
Statement 2: I either have both a Collie and a Staffie or neither.
Statement 3: If I have a Collie, then I also have a Labrador.
- From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
- From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
- From Statement 3, Barry must have a Labrador if I he has a Collie.
Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
Learn more about logical reasoning at: brainly.com/question/25175983