Answer:
1
Step-by-step explanation:
3x+5=8
Group like terms
3x=8-5
3x=3
Divide both side by the co-efficient of x which is 3
3x/3=3/3
x=1
Answer:
there are fourteen 4-point questions and twenty six 2-point questions.
Step-by-step explanation:
Given : A 40-question test has 108 possible points.
There are m 4-point questions and n 2-point questions.
So , equation for total number of questions in the test :
m + n = 40 | 4n + 2n = 108
Multiplying (i) by 2 , we get
2m + 2n = 80
Subtract (iii) from (ii) , we get
2m = 28
⇒ m = 28/ 2 = 14
Using value of m in (i) , we get
14 + n = 40 ⇒ n = 26
from this we get there are fourteen 4-point questions and twenty six 2-point questions.
hope this helped!
Answer:
<u><em>D. </em></u>
Step-by-step explanation:
This is because you find the unit rate for each typist.
Answer:
Step-by-step explanation:
I'm assuming you are solving this system for x, y, and z. Do it this way:
Combine the first 2 equations and the second 2 equations and eliminate the y's. The first 2 equations:
x + y + z = 3
x - y + z = 2
which solves to
2x + 2z = 5
The second 2 equations:
x - y + z = 2
x + y - z = 1
which solves to
2x = 3 so
x = 3/2 or 1.5
Now sub that x value into the bold equation above to get:
2(1.5) + 2z = 5 and
3 + 2z = 5 and
2z = 2 so
z = 1
Now we plug back in to solve for y:
1.5 + y + 1 = 3 and
2.5 + y = 3 so
y = .5
The solution set then is (1.5, .5, 1) or in fraction form:
