Solve Systems by Substitution
x+y=-1
3x-2y=2
and
x=y-2
3x-4y=-13
Answers
1.) Isolate one variable of one equation
x+y-x=-1-x
y=-1-x
2.) Plug in equation for isolated value into other original equation
3x-2(-1-x)=2
3.) Distribute
3x+2+2x=2
4.) Add like terms
5x+2=2
5.) Subtract two from both side
5x=0
6.) Divide both sides by 5
x=0
7.) Plug in numerical value for x into one equation (original or not)
0+y=1
8.) Subtract zero from both sides
y=1
For the first problem, the answer is: x=0, y = 1
For the second problem, follow very similar steps:
3(y-2)-4y=-13
3y-6-4y=-13
-y-6=-13
-y=-7
y=7
x=y-2
x=7-2
x=5
That's your answer for the second problem: x=5, y=7
Hope this helps!
3x - 2y = 2 ⇒ 3x - 2y = 2
-y = -5
y = 5
3x - 2(5) = 2
3x - 10 = 2
+10 +10
3x = 12
3 3
x = 4
(x , y) = (4, 5)
1x - 1y = -2 ⇒ 3x - 3y = -6
3x - 4y = -13 ⇒ 3x - 4y = -13
y = 7
3x - 4(7) = -13
3x - 28 = -13
+28 +28
3x = 15
3 3
x = 5
(x, y) = (5, 7)
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Answers
1+[2x-3 (1.8divided by0.2)]
X is not multiply
A: 2x-26
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D:-7x+1
Answers
1+2x-27 9*3= 27
1-27+2x You would combine like terms here
2x-26
If you have doubts...check out the questions I've answered... :P
Answers
For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
100*2*x^2...
10xyz * \/2
Answers
The two inequalities are
-17 > -22
- 22 < -17
What is inequalities ?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Comparing the two numbers, if plotted on a graph, we can see that -17 is much nearer to the point zero and -22 is farther from point zero. Therefore, we can say that -17 is greater than -22 or -22 is less than -17.
This can be represented with the help of two inequalities, greater than and less than.
first, -17 > -22 (greater than)
second, - 22 < -17 (less than)
Read more about inequalities at:
#SPJ2
Answers
0.08 is nearer to 0.1 than 0.001