Answer:
(-3, -2)
Step-by-step explanation:
To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4
1/3x - 1 = 2x + 4
First, subtract 2x from both sides.
-5/3x - 1 = 4
Add one to both sides.
-5/3x = 5
Multiply both sides by the reciprocal of -5/3 (3/-5)
x = -3
Then, substitute x into one of the equations to get y.
1/3(-3) - 1
-1 - 1 = -2
So drag the dot to the point (-3, -2)
The answer is C that is X=7 and X=-1
multiple x through the given equation to get rid of a fraction. It will be
After that bring 6X to the LHS of the equation
so that it will look like the general equation that is
Use the quadratic formula (or any other approach to find the values of x
You will arrive at
Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>Step-by-step explanation:
We know
for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15