The solution of the given system of equations is (3//2, -3/8)
We can solve a system of equations using:
- graphical method
- elimination method
- substitution method
The given system of equations:
(1/2)x + (2/3)y= 1 ......... (1)
(3/4)x - (1/3)y = 2 ..........(2)
Multiply equation (1) by 6
3x + 4y = 6 ..... (3)
Multiply equation (2) by 12
9x - 4y = 24 ...... (4)
Add equation (3) and (4)
3x + 4y = 6
<u>9x - 4y = 24 </u>+
12x = 30
x = 30/12 = 5/2
Substitute x = 5/2 into equation (3)
3x + 4y = 6
3. (5/2) + 4y = 6
15/2 +4y = 6
4y = (12 - 15)/2 = -3/2
y = -3/8
The solution is (3/2, -3/8)
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Answer:
x is 5 and y is 6
Step-by-step explanation
we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y
<h3>
Option A) </h3>
Assuming that (-2)(-7) and 4 + (-18) are equal.
<u>Using the property [-x × -y = x × y = xy]:</u>
- ⇒ (-2)(-7) = 4 + (-18)
- ⇒ (2)(7) = 4 + (-18)
<u>Using the property [x + (-a) = x - a]:</u>
- ⇒ (2)(7) = 4 + (-18)
- ⇒ (2)(7) = 4 - 18
- ⇒ 14 = -14 (False)
<h3 /><h3>Option B) </h3>
Assuming that (2)(7) and 4 + 18 are equal.
- ⇒ (2)(7) = 4 + 18
- ⇒ 14 = 22 (False)
<h3>Option C) </h3>
Assuming that (–2)(7) and 18 + (–4) are equal.
<u>Using the property [-x × y = -xy]:</u>
- ⇒ (-2)(7) = 18 + (-4)
- ⇒ (-)(2)(7) = 18 + (-4)
- ⇒ -14 = 18 + (-4)
<u>Using the property [x + (-a) = x - a]:</u>
- ⇒ -14 = 18 + (-4)
- ⇒ -14 = 18 - 4
- ⇒ -14 = 14 (False)
<h3>
Option D)</h3>
Assuming that (2)(-7) and 4 - 18 are equal.
<u>Using the property [-x × y = -xy]:</u>
- ⇒ (-)(2)(7) = 4 - 18
- ⇒ -14 = 4 - 18
- ⇒ -14 = -14 (True)
Therefore, Option D is correct.
Answer:
x=38/5
Step-by-step explanation:
distribute
Add 2 to both sides of the equation
Simplify
Plug it into a calculator and it gives you a big number but just round it to 5.2 or 5.20