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svet-max [94.6K]
3 years ago
11

A student is solving a system of equations by substitution and comes up with the solution -3=2. Assuming that she solved the pro

blem correctly, which of the following can be said about this system of equations?
A) the system has exactly 1 solution.
B) the system has exactly 2 solutions.
C) the system has infinitely many solutions.
D) the system has no solution.

HELLLP PLZZZZZ
Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

D) the system has no solution.

Step-by-step explanation:

A student is solving a system of equations by substitution and comes up with the solution -3=2.

So, the unknown variables are canceled out and there are only numbers in the equation but -3 ≠ 2.

If we assume that she solved the problem correctly, then there will be no solution for that system of equations because there is no variable remaining in the final equation to solve for. (Answer)

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AfilCa [17]

Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

x+y\leq 200

so

<em>Verify each case</em>

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

-50+160\leq 200

110\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

80+160\leq 200

240\leq 200 ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

75-200\leq 200

-125\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case D) (60,135)

substitute the value of x and the value of y in the inequality and then compare the result

60+135\leq 200

195\leq 200 ----> is true

therefore

The point is a viable solution

5 0
3 years ago
Read 2 more answers
How is this simplified? what number do you divide with to get the answer​
dexar [7]
You can start by dividing by smaller numbers first, and you would get an answer of 3 if you divided 4455 by 1485 as well as both denominators.
7 0
3 years ago
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Below are two parallel lines with a third line intersecting them.
mixas84 [53]

Answer:

x=129 degrees

Step-by-step explanation:

alternate interior angles theorem

6 0
3 years ago
How do I find the value of y?
Genrish500 [490]

Answer:

y = 27

Step-by-step explanation:

line segment BA and CD are congruent, turn them into an equation

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subtract 1y from both sides, you get 2y - 59 = -5

then, add 59 to both sides and the equation is now 2y = 54

divide each side by 2 and you get the value of y (y = 27)

6 0
3 years ago
Please help<br><br>•A<br>•B<br>•C<br>•D​
lions [1.4K]

Answer:

<h3>D</h3>

Step-by-step explanation:

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