1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
3 years ago
11

Solve the system by substitution: y = -3x + 10 y=-3x + 4 Please show the steps!

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

You might be interested in
In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati
Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em>L - P = P - F - 3

<em>The second can be represented as:</em>

L - P = 5

Required

Determine the distance between the police station and the fire station (P - F)

L - P = P - F - 3 --- (1)

L - P = 5 --- (2)

Substitute 5 for L - P in (1)

5 = P - F - 3

Add 3 to both sides

3 +5 = P - F - 3 + 3

3 +5 = P - F

8= P - F

P - F = 8

5 0
3 years ago
A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles. What is the probability that you choose a blue marble an
ira [324]

PART ANSWER:

Hi. I don't know the entire answer but I do know the probability of chosing a blue marble once is 25%.

5 + 3 + 2 + 2 = 12

3/12 or 1/4 = 25% or .25

Sorry I could not fully help.

6 0
3 years ago
Read 2 more answers
In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.
guapka [62]

solution:

x(a_{x},b_{x})is midpoint of vz\\&#10;a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\&#10;b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\&#10;and,\\&#10;x(5,0)\\&#10;w(a_{w},b_{w}),v_{w} and w is on the right of v.\\&#10;a_{w}-a_{v}=5\\&#10;a_{w}-(-12)=5\\&#10;a_{w}+12=5\\&#10;a_{w}=5-12=-7\\&#10;w(-7,0)\\&#10;y(a_{y},b_{y})=20 and y is on the right of v.\\&#10;a_{y}-a_{v}=20\\&#10;a_{y}-(-12)=20\\&#10;a_{y}+12=20\\&#10;a_{y}=20-12=8\\&#10;y=(8,0)

7 0
3 years ago
What is 1,23456817653 + 3,236157885 = ? Please
Ilia_Sergeevich [38]

Answer:

It is

{ \underline{ +  \binom{123456817653}{3236157885}  }} \\{ \boxed{ \boxed{126692967553 8}}}

6 0
2 years ago
There are 50 pennies in a roll how many pennies are in a 6rolls
Viktor [21]
300 pennies multiply 6×50=300
7 0
3 years ago
Other questions:
  • Two candidates run for class President. The candidate that won received 60% of the 260 total votes. How many votes did the winni
    8·1 answer
  • A bicycle tire has a diameter of 62 cm
    13·1 answer
  • Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I
    7·1 answer
  • You Have 2 2/3 Cups Of Dried Fruit To Divide Evenly Amoung 3 Children. How Many Cups Of Fruit Will Each Child Receive?
    6·1 answer
  • Help please ? this is my second to last question.
    13·2 answers
  • Solve for x. -3/5x+1/5&gt;7/20
    13·1 answer
  • Please help!!!!!!!!!!!!
    15·1 answer
  • The product of a number and -3 is less than 27
    8·1 answer
  • Solve for x……………………….
    14·2 answers
  • (b) The sum of a number and its reciprocal is<br> 2 1/6.Find the number
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!