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
Keith_Richards [23]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

  (x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

  (3x +y) -(2x +y) = (3) -(7)

  x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

  2(-4) +y = 7

  y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

You might be interested in
3. For the equation-4y = &amp;r, what is the constant of variation? (1 point)<br> ООО<br> 02
alexandr1967 [171]

Answer:

3).

- 4y = 8x \\  \frac{y}{x}  =  \frac{8}{ - 4}  \\  \frac{y}{x} =  - 2 \\ y =  - 2x \\ hence \: constant \: is \:  - 2

4).

y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k =  \frac{24}{8}  \\ k = 3 \\ value \: of \: constant = 3

If it was by 10, k = 3 by 10

k = 30

5).

general \: equation \: of \: line  \\ y = mx + c \\ but \: m =  \frac{2}{3}  \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y =  \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27

7 0
3 years ago
Which show the factored form of x^2-12x-45
slavikrds [6]

Answer:

x^{2} -12x-45\\=(x-15)(x+3)

Step-by-step explanation:

6 0
3 years ago
I don't understand number 8
Norma-Jean [14]
Let's try plugging in some negative numbers. Let's do x=-1. 5+-1=4. So we know that if we put in a negative number for x, then n will be positive. But what if we do a number greater than -5, because 5+-5=0. So let's try x=-6. So 5+(-6)=-1. Hmm. So here it is. We know that any number under -5 will be positive and any number above -5 will be negative.
8 0
3 years ago
Which proportion would you use to solve this problem?
erastovalidia [21]

Answer: 225

Step-by-step explanation:

225x0.04 is 9

4 0
3 years ago
Use the function below to find F(3).
arlik [135]

Answer:

The choice D.

Step-by-step explanation:

f(x) =  {( \frac{1}{6} })^{x}  \\  \\ f(3) =  {( \frac{1}{6} })^{3}  =  \frac{ ({1})^{3} }{( {6})^{3} }  =  \frac{1}{216}

7 0
2 years ago
Other questions:
  • 8x over 3 - x over 2 equals -13
    13·1 answer
  • Can someone explain to me how to find if an Algebra Expression is Equivalent to another
    11·2 answers
  • Which digit in the following number is the one that determines its precision? 183.6
    9·1 answer
  • Solve the equation 20 equals negative d + 16....
    8·1 answer
  • 3x²+8x+4 how to solve this
    8·2 answers
  • I need help. I'm stuck on this one
    7·2 answers
  • What inequality represents the verbal expression? All real numbers less than 69.
    8·1 answer
  • 3X+7=X+25 SOLVE FOR X.<br><br> A.9<br> B.25<br> C.34<br> 68.
    10·2 answers
  • Two dice are rolled. What is the probability of getting doubles?
    15·2 answers
  • HELPPPPP MEEEEEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!