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
Darina [25.2K]
3 years ago
10

I need to solve these systems using substitution.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

y is some number and it is equal to -4x+2

y being that same number is also equal to x-3

therefore, we can equate -4x+2 and x-3 to get x-3 = -4x+2

This is the same as starting with y = -4x+2 and replacing the y with x-3

----------------

Let's solve for x

x-3 = -4x+2

x-3+4x = -4x+2+4x .... add 4x to both sides

5x-3 = 2

5x-3+3 = 2+3 .... add 3 to both sides

5x = 5

5x/5 = 5/5 .... divide both sides by 5

x = 1

With this x value, you can now find the y value. Pick any equation that has x and y in it. If we picked the first equation, then

y = -4x+2

y = -4*1+2 ... plug in x = 1

y = -4+2

y = -2

Or we can pick the second equation

y = x-3

y = 1-3 .... plug in x = 1

y = -2

-------------------------------------------------------------------------

<h3>The solution to the system is (x,y) = (1, -2)</h3>

Graphing the two lines will have them intersect at this location.

You might be interested in
Determine the correct set up for solving the equation using the<br> quadratic formula 4x^2-5=3x+4
slava [35]

You need to subtract everything to the left side and set it equal to zero. Combine like terms.

Then, the coefficient of x^2 is a, the coefficient of x is b, and the constant term is c.

4x^2 - 5 = 3x + 4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x - 9 = 0

a = 4; b = -3; c = -9

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(4)(-9)}}{2(4)}

7 0
3 years ago
Nolan has $15.00 and he earns $6.00 an hour babysitting. The equation m = 6h + 15 can be used to determine how much money in dol
trasher [3.6K]
Think about it 
Write a function rule that gives the total cost c(p) of p pounds of sugar if<span> each pound ... How </span>many <span>weeks </span>will<span> Melissa need to add to her savings before she </span>can<span> ... D {} 10 20 3{} </span>40<span> ${} .... </span>Nolan has $15.00<span>, and </span>he earns $6.00<span> an </span>hour babysitting<span>. ... </span>money<span> in </span>dollars<span> (</span>m<span>) </span>Nolan has after any number<span> of </span>hours<span> of </span>babysitting<span> (</span>h<span>).
</span>
6 0
3 years ago
Read 2 more answers
Will literally make BRAINLIEST and marry you if you do this for me
Tanya [424]

Answer:

0.44

Step-by-step explanation:

See the picture below.

Remember that the sine is the ratio of the length of the opposite leg to the length of the hypotenuse.

Perhaps you know SOHCAHTOA, where SOH means sine, opposite, hypotenuse.

For angle J, leg LK is the opposite leg.

The hypotenuse of the triangle is the side opposite the right angle, teh angle of 90°, which is angle L, so the hypotenuse is side KJ.

\sin J = \dfrac{opposite~leg}{hypotenuse}

\sin J = \dfrac{39}{89}

\sin J = 0.43820...

Answer: 0.44

6 0
3 years ago
I GIVVEEE BRAINLILSTTT
inysia [295]
The answer is (3, -5). I hope this helped
4 0
2 years ago
Please I really need help!Please show your work :)​
Anettt [7]

Answer:

50 stars

Step-by-step explanation:

1 × 50 is 50 so you get 50 stars

8 0
3 years ago
Other questions:
  • A construction worker took 1over8 
    7·1 answer
  • Express
    6·1 answer
  • jake is buying a piece of recycled art from luna. he started by giving her 50 and promised to pay her 5 a week until he pays the
    15·2 answers
  • What is a fraction equation that equals 4
    6·2 answers
  • Help.....I need to ace this.
    9·1 answer
  • X over 3 add 5 = 5<br><br><br> Pls help someone
    13·2 answers
  • Find the value of x for the quadrilateral with exterior angles of 6x+12, 15x-5, 10x+13, and 12x-4.
    11·1 answer
  • 2.3 Practice Part
    13·1 answer
  • The area of the September is 336cm is all this model rectangles are exactly the same what is the perimeter of rectangle if the l
    7·1 answer
  • 1. Which of the following is NOT a monomial?<br> 12xy<br> 2x + 9<br> -8x<br> 15
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!