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lutik1710 [3]
3 years ago
7

Solve the following system of equations . Plot the solution to the system on the provided graph

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer:

(6, -3)

Step-by-step explanation:

I will solve this system using elimination.

[tex]\left \{ {{-x+2y=-12} \atop {2x+3y=3}} \right.[/tex]

I will multiply -x+2y=-12 by 2 so that -x becomes -2x.

2(-x + 2y = -12)

Distribute.

-2x + 4y = -24

Now subtract this from the other equation.

2x + 3y = 3

<u>-2x + 4y = -24</u>

        7y  =  -21

Divide both sides by 7.

y = -3

Now that we have the value of y, plug it into the original equation.

-x + 2(-3) = -12

Simplify.

-x - 6 = -12

Add 6 to both sides.

-x = -6

Divide both sides by -1.

x = 6

(6, -3)

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X = y 2 - 1
pochemuha
Your answer would be option B. 2y² - y - 6 = 0. This is because if you were to substitute x = y² - 1 into the equation 2x - y = 4, you would get 2(y² - 1) - y = 4, which expands into 2y² - 2 - y = 4, and then simplifies to 2y² - y - 6 = 0.
I hope this helps!
7 0
3 years ago
Read 2 more answers
-4÷[1/3(7-1/2)]+3<br>(pls show your work) ​
jek_recluse [69]

Step-by-step explanation:

= -4 ÷ ( 1/3 × (7 - 1/2) ) + 3

= -4 ÷ ( 1/3 × 13/2 ) + 3

= -4 ÷ 13/6 + 3

= -4 × 6/13 + 3

= -24/13 + 3

= -24/13 + 39/13

= 15/13

3 0
2 years ago
A movie theater was organizing its movie posters for an upcoming sale they found that for every 5 action movie posters they were
adoni [48]

Answer:

5

Step-by-step explanation:

5

8 0
3 years ago
Help my plizzz no andestend​
777dan777 [17]

Answer:

1: 2/5, 40%

2: 7/10, 70%

3: 13/20, 65%

4: 21/25, 84%

5: 4/5, 80%

6: 2/10 or 1/5, 20%

8 0
3 years ago
A 24 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Anastaziya [24]

F=length of first piece=x; S=length of second piece=2x

T=length of third piece=3x

.

F+S+T=24 inches

x+2x+3x=24 inches

6x=24in

F=x=4in

ANSWER 1: The length of the first piece is 4 inches.

.

S=2x=2(4in)=8in

ANSWER 2: The length of the second piece is 8 inches.

.

T=3x=3(4in)=12 inches.

ANSWER 3: The length of the third piece is 12 inches.

.

CHECK:

F+S+T=24in

4in+8in+12in=24in

24in=24in

7 0
3 years ago
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