Answer: All real numbers are solutions.
Step-by-step explanation:
<u>Let's solve your equation step-by-step.</u>
−(5x+6)−x=−6−6x
<u>Step 1: Simplify both sides of the equation.</u>
−(5x+6)−x=−6−6x
−5x+−6+−x=−6+−6x(Distribute)
(−5x+−x)+(−6)=−6x−6(Combine Like Terms)
−6x+−6=−6x−6
−6x−6=−6x−6
<u>Step 2: Add 6x to both sides.</u>
−6x−6+6x=−6x−6+6x
−6=−6
<u>Step 3: Add 6 to both sides.</u>
−6+6=−6+6
0=0
Chance to draw 7: 4 out of 52
chance to draw 1st queen: 4 out of 51
chance to draw 2nd queen: 3 out of 50
total chance = multiplication of

times

times


pretty miserable change... apox 1 out of 2762, but still much better than any lottery ticket
Answer: 1 < x < 2
Step-by-step explanation:
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step
3(x+2)=5x+1−2x+5
Step 1: Simplify both sides of the equation
3(x+2)=5x+1−2x+5
(3)(x)+(3)(2)=5x+1+−2x+5(Distribute)
3x+6=5x+1+−2x+5
3x+6=(5x+−2x)+(1+5)(Combine Like Terms)
3x+6=3x+6
3x+6=3x+6
Step 2: Subtract 3x from both sides
3x+6−3x=3x+6−3x
6=6
Step 3: Subtract 6 from both sides
6−6=6−6
0=0
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.