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Savatey [412]
3 years ago
13

Solve the following system of equations using substitution. 4x + 2y = 12 x = y + 3

Mathematics
2 answers:
BigorU [14]3 years ago
4 0

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

Afina-wow [57]3 years ago
4 0

Answer: look at the picture, sorry I can’t solve x = y + 3 for x.

Step-by-step explanation: Hope this help :D

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Varvara68 [4.7K]
-2 -13.8x = -8 -6x -1
First, I distributed the negative 1 that was outside of the parentheses to the positive 6x and the positive 1.

-2 -13.8x = -9 -6x
Then I added the negative 8 to the negative 1 which equals negative 9.

-2 -13.8x +6x = -9 -6x +6x
After that I used the addition property and added a positive 6x to both sides.

-2 -7.8x = -9
Then simplifying.

+2 -2 -7.8x = -9 +2
After simplifying, I used the addition property again, adding a positive 2 to both sides.

-7.8x = -7
Simplified.

-7.8x (-1) = -7 (-1)
Then I multiplied both sides by with a negative 1 since the variable cannot be a negative.

7.8x = 7
Simplified

(1/7.8) 7.8x = (1/7.8) 7
Then, to isolate the veriable, I multiplied 1/7.8 to both sides.

x = 1.11428571429
The answer !

I hope this helped !
7 0
3 years ago
Jorge bought 16 apples for $8.00.
dem82 [27]

Answer:

x=16

y=8.00

8/16=0.5  (50 cents per apple)

y=0.5x+0

7 0
3 years ago
Y=4x-2 y= 3x+1? What’s the (x,y)?
erik [133]
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A car is purchased for $20, 000. Its value depreciates by 15% each year. Considering x equals the number of years, which equatio
sweet-ann [11.9K]

Answer:

20,000(x)^0.85 = 12,000

Step-by-step explanation:cd

if it "depreciates" over time, you take the value that it depreciates by and divide the full value of the car by that and get ^0.85, then, once you find the quotiont, you multiply that by the number of years it takes until you reach the goal. I have explained how to solve this problem, even gave the answer, but, I did not give the number of years, good luck! ;)

5 0
3 years ago
If f(x) = – x2 + 6x - 1 and g(x) = 3x<br> - 1, find (f + g)(x).
lesantik [10]

Answer:

-x^2 +9x -2

Step-by-step explanation:

f(x) = – x^2 + 6x - 1 and g(x) = 3x - 1,

(f + g)(x) = f(x) + g(x)

               = – x^2 + 6x - 1 + 3x - 1

Combine like terms

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6 0
3 years ago
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