Answer:
Step-by-step explanation:
False
Answer:
There are infinitely many solutions.
Step-by-step explanation:
3x + 2y = 7
-9x - 6y = -21
Now multiply the first equation by 3
3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation
9x + 6y - 9x - 6y = 21 - 21
0 = 0
The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.
Answer:
27 purple marbles
Step-by-step explanation:
Let p = purple marbles
r= red marbles
p = 5r-8
p+r = 34
Replace p in the second equation with 5r-8 from the first equation
p+r = 34
5r-8 +r = 34
Combine like terms
6r -8 = 34
Add 8 to each side
6r-8+8 = 34+8
6r = 42
Divide each side by 6
6r/6 = 42/6
r= 7
We want to find p
p+r = 34
p+7 = 34
Subtract 7 from each side
p+7-7 = 34-7
p =27
Answer:
Step-by-step explanation:
Hi there!
Move 6x^2 to the other side of the equation:
Divide both sides by -2:
Factor by grouping:
Apply the zero product property:
Therefore, x = -1, 5/3.
I hope this helps!
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0