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:
The area of the rectangle in terms of x :
S = ( 5x +2 )(3x-4) = 15x²−14x−8
=> x1=−2/5, x2= 4/3
Step-by-step explanation:
The inequality of this on the number line would be less than which looks like this
Answer:
x = 12
Step-by-step explanation:
Let's use the distributive rule first for both 5(x - 1) and 7(x + 1). When using the distributive rule to expand parentheses, remember to find the sum of the product of the "outside number" with each of the "inside numbers".
5(x - 1): 5 is the outside number and both x and -1 are the inside numbers.
5 * x + 5 * (-1) = 5x - 5
7(x + 1): 7 is the outside number and both x and 1 are the inside numbers.
7 * x + 7 * 1 = 7x + 7
Now, we can put these back into the equation:
5x - 5 + 3x = 7x + 7
Combine all the x's and the constants:
8x - 5 = 7x + 7
x = 7 + 5 = 12
Thus, the answer is x = 12.
Hope this helps!