All categories

3 years ago

Determine which ordered pair is a solution for the system of equations. Y=5/2x-3 y=-x+3

Mathematics

1 answer:

Troyanec [42]3 years ago

5 0

(12/7, 9/7)

Since y = -x + 3, substitute it into the first equation.

-x + 3 = 5/2x - 3

Now add x and subtract 3 from both sides.

0 = 7/2x - 6

Now add 6 on both sides.

6 = 7/2x

Now divide by 7/2 on both sides.

12/7 = x

Now, just substitute x into the second equation.

y = -12/7 + 3

y = -12/7 + 21/7

y = 9/7

Please consider marking this answer as Brainliest to help me advance.

You might be interested in

Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !

victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

$2x^2+18x=20$

$x^2+9x=\frac{20}{2}$

$x^2+9x-10=0$

$ax^2+bx+c=0$

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

$D=b^2-4ac=(9)^2-4(1)(-10)=121$

$x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1$

$x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)$

The solution of the given quadratic equation is 1 and (-10).

5 0

3 years ago

the difference of two numbers is 9 The larger number is 6 less then twice the smaller number. gind the number

solong [7]

The numbers are 15 and 24

7 0

3 years ago

Read 2 more answers

Five Cs Bank issues credit cards to its customers. In the past 3.4% of the out-of-state nonfraudulent credit card transactions w

kolezko [41]

Answer:

0.0838 (8.62%)

Step-by-step explanation:

defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is

P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362

then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then

P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)

where

P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station

P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station

7 0

3 years ago

Read 2 more answers

Based on the order of operations, which is the first step in simplifying this expression? 9 + 5 x 2(20/4 - 2 + 1)

Leto [7]

Answer:

(Parentheses) P.E.M.D.A.S
Exponents(^)
Multiply(X)
Division(/)
Addition(+)
Subtraction(-)

Step-by-step explanation:

First simplify (20/4-2+1)=

9+5x2(4)=

then simplify again

14x8=112

simplify one more time and you get your answer.

122 is your answer.

So to answer the real question start with parentheses first then work and simplify the equation.

<u><em>Please give brainliest if you found this answer to be helpful!</em></u>

4 0

3 years ago

The graph of a hyperbola is represented by the equation (x+6)^2/9-(y-4)^2/4= 1. What are the vertices of the hyperbola? (–6, 6)

Sholpan [36]

Answer:

The answer is (-9,4) and (-3,4)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers