-2x + 4y = 22
-2x - 3y = 8
Subtract 2nd from 1st equation,
7y = 14
y = 14/7 = 2
Substitute it in 1st equation,
-2x + 4(2) = 22
-2x = 22 - 8
x = -14/2
x = -7
In short, Your Answer would be (-7, 2)
Hope this helps!
Answer:
In order to satisfy the inequality x has to be less than 7/12.
Step-by-step explanation:
The inequality is 1/4 + x < 5/6 in order to solve this inequality we need to isolate the value of x, that is our variable of interest. This is shown bellow:
1/4 + x < 5/6
x < 5/6 - 1/4
Applying LMC to subtract the fractions we have:
x < (2*5 - 3*1)/12
x < (10 - 3)/12
x< 7/12
In order to satisfy the inequality x has to be less than 7/12.
#5:
Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have x, we can solve for y. Alternate interior angles are congruent.
(4x + 23) = (21y - 1)
4(15) + 23 = 21y - 1
60 + 23 = 21y - 1
83 = 21y - 1
84 = 21y
y = 4
#8:
Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.
10x = 13x - 33
-3x = -33
x = 11
Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.
Supplement = 180 - 10x
Supplement = 180 - 10(11)
Supplement = 180 - 110
Supplement = 70
Supplement = 5y
70 = 5y
y = 14
Hope this helps! :)
Step-by-step explanation:
To identify how long each desk is, divide 27 feet by the 12 desks. (Given values)
Each desk is 2.25 ft long.
<u>Check:</u>
<u />
Correct.
