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Inessa [10]
3 years ago
7

Solve the system by substitution. y = 4x y = 8x - 36

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

(9,36)

Step-by-step explanation:

Substitute the 4x for the y in second equation.

Basically setting them equal to each other because the both have 'y='

4x = 8x - 36

-4x  = -36 (subtract 8x from both sides)

x = 9         (divide by -4, both sides)

y = 4(9)     (Substitute the x value into first equation)

y = 36

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3x+9y=12 <br>-3x-6y=18 <br>Solve the system by using elimination​
Ivenika [448]

Answer:  (x, y) = (-26, 10)

This means x = -26 and y = 10 pair up together

===============================================================

How to get that answer:

Add the equations straight down. Think of having 3 separate columns for the three different like terms.

  • 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
  • 9y + (-6y) is the same as 9y-6y which turns into 3y
  • 12 + 18 becomes 30

After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.

Plug this back into any equation involving x and y. Solve for x

3x+9y = 12

3x+9(10) = 12

3x+90 = 12

3x = 12-90

3x = -78

x = -78/3

x = -26

We have found that x = -26 and y = 10 pair up together to form the solution.

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

Checking the answer:

Plug (x,y) = (-26, 10) into the first equation

3x+9y = 12

3(-26)+9(10) = 12

-78+90 = 12

12 = 12

We get a true equation since the same thing is on both sides.

Repeat the same idea for the second equation

-3x-6y = 18

-3(-26) - 6(10) = 18

78 - 60 = 18

18 = 18

The second equation is true as well.

Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.

8 0
3 years ago
Read 2 more answers
Can anybody help with these? It’s trigonometry
mash [69]

Answer:

1 is 17

Step-by-step explanation:

2 is 15. Mark me BRAINLISTESLD

7 0
3 years ago
Im not good with this. also letters should have never been added to math.
Sloan [31]

Answer:

153

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-18 ×-10×5 Thanksgiving<br><br>​
Sveta_85 [38]

Answer: 900

<u>Multiply</u>

-18*-10=180

<u>Multiply</u>

180*5=900

<u>Note</u>

Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)

Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)

Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)

7 0
4 years ago
Find the value of a/b!? can I have help?<br>​
MatroZZZ [7]

Answer:

1.5

Step-by-step explanation:

2.1/1.4 =1.5

(as the triangles are similar) i think this is the answer.

4 0
3 years ago
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