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
Genrish500 [490]
3 years ago
11

Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

Mathematics
1 answer:
taurus [48]3 years ago
5 0

\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.

You might be interested in
What is it? Please help
blondinia [14]

Answer:

a math problem lol

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the value of the function f(x) = 1.5x + 7.6 when x = 1.1?
dangina [55]
<span>f(x) = 1.5x + 7.6
</span><span>f(1.1) = 1.5(1.1) + 7.6
f(1.1) = 1.65 + 7.6
f(1.1) = 9.25</span>
7 0
3 years ago
Read 2 more answers
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
nadezda [96]

Answer:

1. x^2-10 because the area expression can be rewritten as (x^2-10)(x^2+10)which equals (x^2-10)((x^2-10)+20).

Step-by-step explanation:

Area of the rectangle =(x^4-100)

x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)

Since the length of a rectangle is 20 units more than its width.

Width: x^2-10\\Length=x^2+10=x^2-10+20

The correct option is therefore 1.

4 0
3 years ago
Read 2 more answers
Graph the function.
Soloha48 [4]

Answer:

y =x+1

Step-by-step explanation:

The y intercept is 1

The slope is positive

We go up 1 and to the right 1

y = mx+b  where m is the slope and b is the y intercept

y = 1x+1

y =x+1

8 0
2 years ago
1. solve the following quadratic equation by factoring. Show all work and check your answer.
expeople1 [14]

Answer:

x = -4, x = 1

Step-by-step explanation:

x^2 + 3x - 4 = 0

4 and -1 add to 3 and multiply to -4.

(x+4)(x-1) = 0

Separate these by the Zero Product Property.

x+4 = 0

x-1 = 0

Solve.

x = -4

x = 1

4 0
3 years ago
Other questions:
  • i have to write equations in standard form using integer coefficients for A,B, and, C Example: y= -8/15x + 1/20
    15·1 answer
  • The prime factorization of 441 is ?
    10·2 answers
  • Austin bought 10 reams of paper at the store for a total of $84.00. the tax on the purchase was $4.00. what was the cost of each
    7·2 answers
  • A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected
    15·1 answer
  • 98stickers
    7·2 answers
  • 2x4 + 6x3 - 10x<br> help me
    12·1 answer
  • Mary found a pair of boots that cost $60. Sales tax is 7%. What is the total price Mary will pay for the boots?
    8·1 answer
  • Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student deter
    6·2 answers
  • Y
    13·2 answers
  • You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!