Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.
Answer:
x=105
Step-by-step explanation:
75+75+x+x=360
150+2x=360
2x=210
x=105
I hope this is correct and helps you!
Answer:
Option a is the correct answer.
Step-by-step explanation:
Let x,y and z represent the marks scored in first,second and third tests respectively.
Total score is 239, then:
x+y+z = 239 -------1
Combined scores of first and second tests is 59 more than that of third test,then:
x+y = 59+z
x+y-z = 59 ---------2
The score of second test is 25 more than that of third test, then:
y = 25+z
0x+y-z = 25 --------3
The matrix equation for this situation is:
![\left[\begin{array}{ccc}1&1&1\\1&1&-1\\0&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C1%261%26-1%5C%5C0%261%26-1%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}x&y&z\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D)
.