All categories

1 year ago

Which system of linear inequalities has the point (2, 1) in its solution set?

1 answer:

4 0

You haven't provided the choices, therefore, I cannot provide an exact answer. However, I will help you with the concept.

For an order pair to be a solution to a system of equations, it has to satisfy BOTH equations. If it satisfies only one equation of the system or satisfy neither of the equations, the, it is not a solutions

Examples:
System 1:
x = y + 1
2x + 3y = 7
Let's check (2,1)
2 = 1 + 1 ........> equation 1 is satisfied
2(2) + 3(1) = 7 ......> equation 2 is satisfied
(2,1) is a solution to this system

System 2:
y = x + 3
y = x - 1
Let's check (2,1):
1 ≠ 2 + 3 ........> equation 1 isn't satisfied
1 = 2 - 1 ..........> equation 2 is satisfied
(2,1) isn't a solution to this system

System 3:
2y = 9 - 3x
3x + 2y = 9
Let's ceck (2,1):
2(1) ≠ 9 - 3(2) ..........> equation 1 isn't satisfied
3(2) + 2(1) ≠ 9 .........> equation 2 isn't satisfied
(2,1) isn't a solution to this system

Based on the above, all you have to do is substitute with (2,1) in the system you have and pick the one where both equations are satisfied

Hope this helps :)

You might be interested in

Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply. Point H is the center of the circle that

Dmitrij [34]

The circumcenter of a triangle is the intersection of the perpendicular bisectors.It is the center of the triangle's circumcircle. And a circumcircle is the circumscribed circle of the triangle. This unique circle passes through each of the triangle's three vertices. According to these definitions the following statement is true:
Point H is the center of the circle that passes through points D, E, and F.

5 0

1 year ago

Renee, Susan, and Martha will share the cost to rent a vacation house for a week. Renee will pay 40% of the cost. Susan will pa

notsponge [240]

Answer:

Martha is incorrect.

Amount paid by Renee = $\$340$

Amount paid by Susan = $297.5

Amount paid by Martha = $\$212.5$

Step-by-step explanation:

Given: Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.

To find: Is Martha correct?

To find: amount paid by each of Renee, Susan, and Martha

Solution:

Percentage of an amount paid by Renee = 40%

Percentage of an amount paid by Susan = 35%

So,

Percentage of an amount paid by Martha = $100-40-35=25\%$

But Martha thinks she will pay 13 of the cost. So, she is incorrect.

Amount paid by Renee = $\frac{40}{100}(850)=\$340$

Amount paid by Susan = $\frac{35}{100}(850)=\$297.5$

Amount paid by Martha = $\frac{25}{100}(850)=\$212.5$

5 0

1 year ago

Velvet fabric costs $11.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is

GuDViN [60]

Answer:

$99

Step-by-step explanation:

11.49 is estimated to 11

9.3 is estimated to 9

1 yard cost $11 what of 9

11×9=99

5 0

1 year ago

Read 2 more answers

Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number

Orlov [11]

That would be a false statement

6 0

1 year ago

Mike is preparing refreshments for a party. To make a smoothie, he will mix 3 1⁄2 quarts of strawberry puree with 2 pints of lem

Shkiper50 [21]

Let's convert all volumes into pint:

1 Quart = 2 pints → 3.5 quart of strawberry = 2 x 3.5 = 7 pints Strawberry
1 Gallon = 8 pints →1.25 Ga. water = 1.25 x 8 = 10 pints Water
2 pints of limonade = 2 pints of limonade

Add up all pints Total = 7+10+2 = 19 pints of smoothie

Or in quart 9.5

Or in Gal 2.375

7 0

2 years ago

Read 2 more answers