Answer:
Step-by-step explanation:
x + 2y = 14 ...............(1)
6x + 3y = 21 ..............(2)
Solve for x in equation 1
When x + 2y = 14
Therefore x = 14 - 2y ...................(3)
Now put equation 3 in equation 2 and solve
6x + 3y = 21 .............(2)
6(14 - 2y) + 3y = 21
Open the bracket and resolve
84 - 12y + 3y = 21
-9y + 84 =21
Now collect the like terms
-9y + 84 = 21
-9y = 21 - 84
-9y = -63
Divide through by -9 to get y
y = -63/-9
y = 7
Substitute for y in equation( 3 )to x
x= 14 - 2y............(3)
So, x = 14 - 2(7)
x = 14 - 14
x = 0.
Therefore x = 0 and y = 7
Check: From equation (1)
x + 2y = 14
Now, put x = 0 and y = -2
Therefore, 0 +2(7) =14
0 +14 = 14
Let the three integers be x - 2, x and x + 2, then
x - 2 + x = 4(x + 2) - 24
2x - 2 = 4x + 8 - 24
4x - 2x = -2 + 16
2x = 14
x = 7
Therefore, the integers are 5, 7 and 9
Answer:
it's 324
Step-by-step explanation:
divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18
We are given that Kristine spends $20 and saves the rest each time she get paid.
We can use slope-intercept form y=mx+b to represent the equation.
Where x represents the amount Kristine earns and y represents the amount she saves.
Kristine spends $20. Therefore b= -20.
Plugging mx as just x and b=-20.
<h3>y = x-20.</h3><h3>If we plug y=0, we get </h3><h3>0 = x-20</h3><h3>x=20.</h3><h3>We can see in 4th option we have x-intercept =20.</h3><h3>Therefore, correct option is 4th option. </h3><h3 />
Answer: 0.970 ??
Step-by-step explanation: