5x means that 5 should be multiplied by the value of x
Every time a variable is touching a number it means it’s multiplying
5x + 8 = ?
If x = 9, you would multiply 5 and 9 which is 45. You then add 45 and 8
45 + 8 = 53
Therefore 5x + 8 = 53
Hope this helps you! :)
Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
Answer:
1/3
Step-by-step explanation:
5/6-x=1/2
x=5/6-1/2
x=5/6-3/6
x=2/6
simplify
x=1/3
Answer:
C. (1, 1, 2)
Step-by-step explanation:
Well plugging them in one by one.
x + y - z = 0
-1 + 2 - 4 = 0
no.... no it doesn't equal 0 so it isn't the solution
-1 + 0 - 2 = 0
nope it doesn't equal 0 so it's also not the solution
1 + 1 - 2 = 0
Yes! this could equal the solution so lets keep going down the line
3x - y + z = 4
(3*1) -1 + 2 = 4
Yes! this also is correct
I could keep talking and talking but yes, (1, 1, 2) is your answer
Hope this helps! <3
