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
Finger [1]
3 years ago
7

Solve the system below using substitution write your final answer as a coordinate point

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

You might be interested in
What is the gcf for 13 and 17
Yanka [14]

Answer:  GCF of 13 and 17 is 1. 2.

Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.

8 0
2 years ago
Read 2 more answers
Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.
m_a_m_a [10]

Answer:

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

<em>Equivalent expressions are those that have same values for any value of variable substituted.</em>

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22

Now put t=2, into 3t-14t

3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

6 0
3 years ago
QUICKLY HELP! Which relationship between x and y in the equation shows a proportional relationship?
Darina [25.2K]
Y = 12x is a direct variation which is a proportion.
As x increases y also increases.
3 0
2 years ago
Does anyone know how to solve this?
KATRIN_1 [288]

Answer:

<30,-20>

Step-by-step explanation:

4u + 2v

4< 6,-4> + 2< 3,-2>

<24,-16> + < 6,-4>

<30,-20>

4 0
2 years ago
A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?
igor_vitrenko [27]

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

3 0
3 years ago
Read 2 more answers
Other questions:
  • -2a - 5 &gt; 3 Solution as a graph
    10·1 answer
  • Find f(-5) and f(12) for each piecewise function f(x){-4x+3 if x&lt;3
    14·1 answer
  • Find vector c if c=a+b (view image)<br> A. 7,6<br> B. -7,2<br> C. 0,-5<br> D. -5, 0
    11·1 answer
  • Sasha says that a vector has a direction component in it; therefore, we cannot add two vectors or subtract one from
    11·1 answer
  • What are the two events that are compared in the second and third
    8·1 answer
  • What is the domain of the function y=%/x-1?<br> O- o -1 &lt; x &lt; oo<br> 0 O 1
    7·1 answer
  • Find the factors of 9q²-45pq+8q-40p
    11·1 answer
  • Simplify the expression.<br> (2x)(3x)
    10·2 answers
  • In ΔNOP, m∠N = 110° and m∠O = 38°. Which list has the sides of ΔNOP in order from longest to shortest?
    11·1 answer
  • Help with math earn 10 points
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!