First:
2x + 2z = 4
2(x+z)=4
x+z=4/2
x=2-z
-x - y - z= -8
-(2-z)-y-z= -8 replace x
-2+z-y-z= -8 (cancel z)
-2-y= -8
6 = y
Then:
-4x + 4y + 5z = 7 replace x and y
-4(2-z)+4*6 + 5z = 7
-8 + 4z + 24 + 5z = 7
16 + 9z = 7
9z = 7 - 16
9z = -9
z = -9/9
z= -1
Finally
x= 2-z replace z
x = 2- (-1)
x = 3
Answer:
y=3/4x +3
Step-by-step explanation:
Find the slope first. y-y over x-x
Y: 9-6 =3
X 8-4 = 4
so the slope is 3/4
Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b
I chose 4,6 since the slope has a 4 in the denominator
Use y=mx + b
Y =6 from ordered pair m/slope= 3/4 x= 4 from ordered pair and you are looking for b
6= 3/4 (4) + b
6= 12/4 or 3 + b subtract 3 from both sides
3= b
equation is y=3/4x +3
Answer:
36 dollars
Step-by-step explanation:
We need to think backwards to solve this question.
(8 - 2) x 2 = 12
(12 - 2) x 2 = 20
(20 - 2) x 2 = 36
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
The answer is 9. if you wanna do it the long way buit a calculator is easier
