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Dmitry_Shevchenko [17]
3 years ago
12

Y=2x+3 y=3x+1 solve the system of equations using substitution

Mathematics
2 answers:
marishachu [46]3 years ago
7 0

Answer:

x= 2 and y= 7

Step-by-step explanation:

Substitution method involves getting value of one variable from one equation in terms of other variable and putting this in second equation to eliminate and find value of other variable.

Here we have

y=2x + 3

in first equation and putting this in second equation, we get

2x + 3 = 3x + 1 or

2x - 3x = 1 -3 or

-x = -2

i.e.

x = 2

Putting this Vale of x back in first equation, we get

y = 2 × 2 + 3 = 7

Hence we get x = 2 and y = 7.

Lynna [10]3 years ago
4 0

Answer:

(2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )

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The equation of line L, is y = 5x + 1
Lynna [10]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Rearrange 2y - 10x + 3 = 0 into this form

Add 10x to both sides

2y = 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - \frac{3}{2} ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5 then they are parallel.

4 0
3 years ago
A group of people were asked if they had run a red light in the last year. 150 responded "yes", and 185 responded "no". Find the
Softa [21]

Answer:

150/335, or 30/67

Step-by-step explanation:

Probability is expressed as the part against the whole (a fraction). All you have to do is divide how many people ran red lights by the total...and you're done!

Have a great day!

8 0
3 years ago
Which expressions have a product of 3.68? Select all that apply.
lisabon 2012 [21]

Answer:

./........

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Jordan and Baylor are baking cookies for the Holidays. Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36
Lana71 [14]

Jordan and Baylor are going to have all together 780 cookies

<u>Solution:</u>

Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36 dozen sugar cookies.  

We have to find how many cookies are they going to have all together?

Now,<em> total number of cookies = cookies made by Jordan + cookies made by Baylor  </em>

Total number of cookies = 29 dozens + 36 dozens  

Total number of cookies = 65 dozens

Total number of cookies = 65 x 12 per dozen

Total number of cookies = 780

Hence, they altogether have 780 cookies

4 0
3 years ago
) furnace repair bills are normally distributed with a mean of 272 dollars and a standard deviation of 15 dollars. if 36 of thes
nexus9112 [7]
To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881
8 0
2 years ago
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