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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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Answer:

10 batches

Step-by-step explanation:

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For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

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Divide both sides by 6

6x/6 = 60/6

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Hence 10 batches of muffins will be made from 15/2 cups of nuts.

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Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
ozzi

Answer:

Multiply the second equation by −2 to get −8x − 6y = −30.

Step-by-step explanation:

{2x + 6y = 12

{4x + 3y = 15

{2x + 6y = 12

{−8x − 6y = −30 >> New Equation

* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.

** [3, 1] is your solution.

I am joyous to assist you anytime.

6 0
3 years ago
Read 2 more answers
What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?
Kitty [74]
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2. 
7 0
3 years ago
PLEASE HELP WILL GIVE BRAIN
LenaWriter [7]

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=15/4(9/8)

=135/32

=4 7/32

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