Answer:
B) x = 0
Step-by-step explanation:
To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.
Plug -5 into x
-5 – 6 ≥ –7
Combine like terms
-11 ≥ –7
This is false, -11 is not greater than or equal to -7.
Plug 0 into x
0 – 6 ≥ –7
Combine like terms
– 6 ≥ –7
This is true, -6 is greater than -7.
Plug -2 into x.
-2 – 6 ≥ –7
Combine like terms
-8 ≥ –7
This is false, -8 is not greater than or equal to -7.
Plug -7 into x.
-7 – 6 ≥ –7
Combine like terms
-13 ≥ –7
This is false, -13 is not greater than or equal to -7.
B) x = 0 is the only solution that is true and works, so that is your answer.
Have a lovely rest of your day! :)
<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:
<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10 ==> (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1
-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7 ==> (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8
Multiply through the first equation by -3 :
-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1) ==> (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3
Add this to the second equation to eliminate <em>y</em> :
((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)
(-7 + 4<em>k</em>) <em>x</em> = -11
Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4<em>k</em> = 0 ==> <em>k</em> = 7/4
Answer:
(3,0)
Step-by-step explanation:
put x-3=0 and solve for it whic hwould be x=3
The answer is 3 yards, remember each yard is 3 feet <span />
-8x-2(5+4x)
Step-by-step explanation:
-8x-10-8x -8x-8x-10 -16x-10