-2x-y=-9
5x-2y=-9
we use equation 1 first.
-2x -y = -9
-y = -9 + 2x
y = 9 -2x
We substitute value of y in equation 2
5x - 2 (9 - 2x) = -9
5x -18 - 4x = -9
5x - 4x = -9 + 18
x = 18 -9
x = 9
We now find the value of y
-2x -y = -9
-2 (9) - y = -9
-18 - y = -9
-y = -9 + 18
y = 9 - 18
y = -9
are parallel?
a) 2x + 5y = 6 and 5x + 2y = 10
b) 3x + 4y = 12 and 6x + 8y = 12
2x+ 5y=6 and -2x + 5y = 14
d) 3x + 4y= 12 and 6x - 8y = 20
go to station 9
go to station 7
go to station 4
go to station 8
Answer:
b) 3x + 4y = 12 and 6x + 8y = 12
Step-by-step explanation:
they share the same slope
In this question, we are asked to determine which two lines are parallel. By finding the slopes of the given lines, we can determine if they are parallel or not.
In order for two lines to be parallel, they must have the same slope. To determine the slope of a line, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope. Let's find the slopes of the given lines:
a) 2x + 5y = 6 --> 5y = -2x + 6 --> y = (-2/5)x + 6/5 --> slope = -2/5
b) 3x + 4y = 12 --> 4y = -3x + 12 --> y = (-3/4)x + 3 --> slope = -3/4
c) 2x + 5y = 6 and -2x + 5y = 14 both have the same slope of -2/5, so these lines are parallel.
d) 3x + 4y = 12 and 6x - 8y = 20 do not have the same slope, so these lines are not parallel.
#SPJ2
The fraction represents how many games Krista's softball team lost out of the 35 games Krista's team played.
To find the percent of games that Krista's team lost, we need to turn the fraction into a percent.
We can reduce by dividing both the numerator and denominator by the Greatest Common Factor of 7 and 35 using 7.
7 ÷ 7 = 1
35 ÷ 7 = 5
Now, we have our reduced fraction.
1 ÷ 5 = 0.2
0.2 × 100 = 20%
Therefore, Krista's softball team lost 20% of their games.