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NNADVOKAT [17]
3 years ago
10

What is the solution for the system of equations

Mathematics
2 answers:
OLEGan [10]3 years ago
3 0
First, it depends how you want to solve the system. The easiest way is to solve by elimination. Eliminate the 2 s. Therefore, 4x = 8. Divide by 4 to find x. After dividing by 4, x=2. To find the y plug in 2 for x in the original equation. Try for the first one. 2 +2y =3. Subtract 2 from both sides of the equation. Then you get 2y =1. Divide by 2 in both sides and you get y = 1/2.
Slav-nsk [51]3 years ago
3 0
I'd immediately add the two given equations together.  This produces 4x = 8, so that x = 2.  Subbing 2 for x in the first equation results in 2+2y=3, so 2y = 1, and y = 1/2.

Thus, the solution is (2, 1/2).

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I need help plzz. <br><br> Dilate this by 1/3
leva [86]
For this shape there are four points. The plotted ordered pairs are:
M = (3, 9)
N = (6, 0)
O = (3, 6)
P = (-3, 0)

All you have to do is multiply the BOTH x- and y-values by 1/3 on EACH ordered pair. And if it’s easier, you can divide by 3 as well. It’s the same thing.

M = (3, 9) = (3*1/3, 9*1/3) = (1, 3)
N = (6, 0) = (6*1/3, 0*1/3) = (2, 0)
O = (3, 6) = (3*1/3, 6*1/3) = (1, 2)
P = (-3, 0) = (-3*1/3, 0*1/3) = (-1, 0)

(1, 3) , (2, 0) , (1, 2) , and (-1, 0) are your points.

8 0
2 years ago
Read 2 more answers
The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
frosja888 [35]

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50


7 0
3 years ago
Read 2 more answers
Rita has a loan of 40,000. This loan has a simple interest rate of 6% per year. What is the amount of interest that rita will be
kvv77 [185]

Answer:

........

Step-by-step explanation:

7 0
3 years ago
The prime factorization of 7,840,000 is 2^8*5^4*7^2. The prime factorization of square root of 7840000 is 2^a*5^b*7^c. What is a
Sladkaya [172]

Answer:

8+4+2=14

Step-by-step explanation:

Sorry if this did not help! I give away points!

6 0
2 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
3 years ago
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