MATHEMATICS MIDDLE SCHOOL

Solve the system of linear equations below.

y = -2x + 19
y = x + 7

Answers

Answer 1
Answer: Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

Related Questions

Need help please! I need the right answer!Choose the answer. Which word best describes the degree of overlap between the two data sets? A. high B. moderate C. low D. none Thank you!!! :) :D
You are paid $78 for 6 and a half hours of work. What is your rate of pay?
The given line segment has a midpoint at (−1, −2).PLEASE HELP I'LL PICK A BRAINLIEST PERSON!!! What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment? A.y = −4x − 4 B.y = −4x − 6 C.y = x – 4 D.y = x – 6
use the tally chart to draw a bar graph below. The scale is given. Coins in Maria's Piggy Bank Number of Coins Penny Nickel Dime Quarter
Identify the terms , like terms , coefficients , and constants 1.. N + 4n -7n - 1

in march, nick practice soccer for 42 hours. in April nick wants to get even better at soccer and plans to ptactice 18 hours more than he did last month. write an equation to find out how many hours nick plans to practice soccer in april​

Answers

Answer: 60 hours.

Step-by-step explanation:

Let be "x" the amount of hours Nick practice in March and "y" the amount of hours Nick plans to practice in April.

Set up a system of equations:

\left \{ {{x=42} \atop {y=x+18}} \right.

Applying the Substitution Method, we can substitute the first equation into the second equation in order to find the value of "y". Therefore you get this result:

y=x+18\n\ny=(42)+18\n\ny=60

The results of a car race are shown. How much faster did Evans drive per lap than loza?

Answers

Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.

What is 35% written as a fraction ?

Answers

percent means out of 100

35/100

divide the top and bottom by 5

7/20

Hey there!

Percentages  goes out of 100

So,

35% = (35)/(100)

(35)/(100)=0.35

(0.35)/(100)*(100)/(100)

We get: (35)/(100) (Simplify this and this should give you your answer)

Answer:\boxed {(7)/(20) }

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

11.9x+10.5y=178.5 Help me please

Answers

You wanna get the y by itself. So you will subtract 11.9 then move it to the other side. so that is 10.5y = -11.9x +178.5. Then divide everything by 10.5. Then you get y = -11.9x/10.5+17. 11.9x/10.5 is because you cant put 10.5 into 11.9 evenly so you leave it as a division problem. 
Let's solve for x.
11.9x+10.5y=178.5 

Step 1: Add -10.5y to both sides.
11.9x+10.5y+−10.5y=178.5+−10.5y
11.9x=−10.5y+178.5

Step 2: Divide both sides by 11.9.

11.9x/11.9=−10.5y+178.51/1.9
x=−0.882353y+15

Simplify the expression.

-p+3+2p-2p

Answers

 (3-2p)(2p-3) Final result : (3 - 2p)2 • -1 Step by step solution :Step  1  : 1.1    Rewrite  (2p-3)  as (-1) •  (3-2p) Multiplying Exponential Expressions :

 1.2    Multiply  (3-2p)  by  (3-2p) 

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (3-2p)  and the exponents are :
          1 , as  (3-2p)  is the same number as  (3-2p)1 
 and   1 , as  (3-2p)  is the same number as  (3-2p)1 
The product is therefore,  (3-2p)(1+1) = (3-2p)2 

Final result : (3 - 2p)2 • -1

this is what i learned in school hope you understand
Combine Like Terms:=−p+3+2p+−2p=(−p+2p+−2p)+(3)=−p+3

A cylindrical water tank is being filled with a hose. The depth of the water increases by 1/14 ft per hour. How many hours will it take for the water level in the tank to be 3/12 ft deep?

Answers

seven is your answer
Other Questions
A triangle cannot have both an acute angle and a right angle True or False
Are natural numbers always/sometimes/never rational numbers
Solve A=1/2h(b1+b2) Solve for b1
Malorie can work 10 math problems in 3 minutes. At this rate, how many problems can she work in one hour?A.30B.60C.120D.200