If I understand the question correctly the the probability would be 2/52 or simplified 1/26
Answer:
option d. x = 8
Step-by-step explanation:
Answer:
x = 4 x = -14
Step-by-step explanation:
|x + 5| = 9
The absolute value equation has a positive and negative solution
x+5 = 9 x+5 = -9
Subtract 5 from each side
x+5-5 = 9-5 x+5-5 = -9-5
x = 4 x = -14
2(5x+4)+3(2x-1)
Use the distributive property for both sets of parenthesis:
2(5x+4) = 2*5x + 2*4 = 10x+8
3(2x-1) = 3*2x - 3*1 = 6x-3
Now you have:
10x+8 + 6x-3
Now combine like terms:
10x + 6x = 16x
8-3 = 5
The final answer is 16x+5
Eliminate <em>x</em> by taking two equations at a time and combining them in the the right parts.
For example, taking the first two equations, we can eliminate <em>x</em> by subtracting 2 times the second equation away from the first:
(2<em>x</em> - 5<em>y</em> + 7<em>z</em>) - 2 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 6 - 2×3
(2<em>x</em> - 2<em>x</em>) + (-5<em>y</em> + 6<em>y</em>) + (7<em>z</em> - 8<em>z</em>) = 6 - 6
<em>y</em> - <em>z</em> = 0
Similarly, take 3 times the second equation from the third:
(3<em>x</em> - 8<em>y</em> + 11<em>z</em>) - 3 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 11 - 3×3
(3<em>x</em> - 3<em>x</em>) + (-8<em>y</em> + 9<em>y</em>) + (11<em>z</em> - 12<em>z</em>) = 11 - 33
<em>y</em> - <em>z</em> = -22
But these two new equations say 0 = -22, which is not true. So there is no solution to this system.