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padilas [110]
3 years ago
5

Solve the system using the substitution method 6x - 2y = -4 y= 3x + 2

Mathematics
2 answers:
Oksana_A [137]3 years ago
4 0

Answer:

x= -0.66+0.33

Step-by-step explanation:

you already have what y equals, so the next step is to plug in the solution for y into  6x - 2y = - 4

-plug in y = 3x + 2 into 6x - 2y = - 4 through the y variable

-making the equation now 6x - 2(3x + 2) = - 4

-now solve for x by distributing -2 to 3x and +2

6x - 6x - 4 = - 4 ------> - 4 = - 4

6x - 2y = - 4 -----> 6x = - 4 + 2y -----> x = - 0.66 + 0.33

Anit [1.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

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The graph of a linear function passes through the point (2,5) and a slope of 3
Delicious77 [7]

Answer:

y=3x-1

Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=2\\y_1=5. We write  

(y-5)=3(x-2)

Convert point slope form to slope intercept form by simplifying and rearranging.

y-5=3(x-2)\\y-5=3x-6\\y=3x-1


8 0
3 years ago
Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota
Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

\frac{2}{3} x = 140

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

(\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})

Now you can solve:

x = \frac{420}{2} \\x = 210

We can check this answer by multiplying 210 by 2/3

(210)(2/3) = 140

Remember, Sam used a gift certificate for $25

140 - 25 = $115

Therefore, the original price of the skis is $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
The altitude of a helicopter increases 1000 feet every 4 minutes.
tatiyna

Answer:

1/250

Step-by-step explanation:

1000/4 simplifies to 1/250

All you had to do was simplify it

8 0
3 years ago
Read 2 more answers
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
hichkok12 [17]

Answer:

3(4a−5b+2)

Step-by-step explanation:

The answer should have originally been 3(4a-5b+2)

3(4a+5b+3)= 12a+15b+9 which is incorrect.

6 0
2 years ago
1. How would you solve the equation<br> 3a + 7 = – 2 by graphing?
ddd [48]

Answer:

You draw it on the graph right

4 0
2 years ago
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