The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
#LearnwithBrainly
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 = -6/5 <--
a common denominator
Then...
-6/5 -9/10 = -21/10
There is not a common denominator so you have to multiply 2 to the -6/5 to make it -12/10
The answer can be left as an improper fraction which is -21/10
or a mixed number -2 1/10 th
Answer:
The answer is C, 17 and | -17|
Step-by-step explanation:
We can solve this using the process of elimination.
Looking at the first one, we know that those | | around the 7 mean to find the absolute value. The absolute value is the number of units the number is from zero, and it is always positive. This means that it is saying 7 and -7. Those are opposites, so we know that this isn't right.
17 and -17 are opposites, since the opposite of a positive is a negative.
The last one is the same. 71 and -71 are opposites. That leaves us with C.
Remember that those | | mean to find the absolute value of. -17 is 17 unites from zero. So is 17 the oppostie of 17? No, so these are not opposites, and therefore are our answer.
Answer:
2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6
Step-by-step explanation:
D = rt. The first car's rate is r, and the other one, going faster, is r + 12. The time they travel is 2 hours. Since one is going faster than the other, he has gotten farther. But, regardless of that, the distance between them is 232. So the distance the first one travels, r*t, which 2r, plus the distance the second one travels, 2(r+12) = 232. 2r + 2r + 24 = 232. Solve for r. 4r = 208 and r = 52. The slower one goes 52 and the faster one goes 64
