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fredd [130]
3 years ago
11

How do you solve by substitution in algebra?

Mathematics
1 answer:
Elden [556K]3 years ago
7 0
Ok so lets say we have a system of equations:

y = x + 1
x + y = 5

All you would do is plug in what is equal to the variable so:

x + x + 1 = 5

Then you would just simplify and solve

2x + 1 = 5
       -1   -1
_________

2x = 4
--     --
2      2

x=2
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Solve for x. 8^(x+3)=32
Damm [24]

Answer:

x = -4/3

Step-by-step explanation:

8^(x+3)=32

2^3 = 8

2^5 = 32

3( x + 3 ) = 5

3x + 9 = 5

3x = -4

x = -4/3

Tell me if I am wrong.

Can I get brainliest

4 0
3 years ago
Read 2 more answers
Please help me with my math homework what is the answer!!!
Dmitry [639]

Answer:

Step-by-step explanation:

The letters are easy enough.

y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.

x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs

12 and 42 are the parts that will cause the problem. Factor them both into prime factors

12: 2 * 2 * 3

42: 2 * 3 * 7

You need two 2s.

You need one 3

You need one 7

LCD = 2 *2*3 * 7 = 84

6 0
2 years ago
Write the product of 6x-4 and the multiplicative inverse of 1 over 5
nlexa [21]

Answer:

  30x -20

Step-by-step explanation:

The multiplicative inverse (reciprocal) of 1/5 is 5/1 = 5. Multiplying that by 6x-4 gives ...

  5 × (6x -4) = 30x -20

6 0
3 years ago
Solve : a) (x-4)(x-2)=0​
Elden [556K]

Answer:    X= 3

Step-by-step explanation:

x-4*x-2=0

+4.       +4

—————-

x*x-2=4

     +2. +2

——————

x*x=6

2x=6

/2.   /2

—————-

x=3

8 0
3 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

6 0
3 years ago
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