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Kaylis [27]
2 years ago
7

Solve by substitution. Show each step of your work.

Mathematics
2 answers:
Kitty [74]2 years ago
5 0

Answer:

x = 3, y = 0

Step-by-step explanation:

First we find a variable to cancel out. Y will be easiest.

Multiply that equation by -2 to create -8x-2y = -24

Now we can cancel y out and solve for x.

add the variables together to make 10x = 30

x = 3

Now that we have x, we can plug it in for either equation to find y.  

4(3) + y = 12

y = 0

zaharov [31]2 years ago
3 0

5x + y = 15

y = -5x + 15

Substituting y= -5x+15 from first equation into second equation:

3x + 2y = 16

3x + 2·(-5x + 15) = 16

3x - 10x + 30 = 16

-7x + 30 = 16

7x = 30 - 16 = 14

x = 2

Substituting x=2 into the first equation:

5x + y = 15

5(2) + y = 15

10 + y = 15

y = 15 - 10

y = 5

So your final answers are x=2 and y=5.

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How do you compare 7/8 ___ 15/16 ?
solong [7]

Answer:

7/8 < 15/16

Step-by-step explanation:

Get a common denominator of 16

7/8 *2/2

14/16

14/16 < 15/16

so 7/8 < 15/16

3 0
3 years ago
Read 2 more answers
Billie solved the equation below by completing the square, but she got the incorrect solution. In which step did Billie first ma
Tanzania [10]

Answer:

step 2

Step-by-step explanation:

we have

x^{2} +10x-49=0 ---> given problem

step 1

Move the constant to the right side

x^{2} +10x=49

the step 1 is correct

step 2

Complete the square

x^{2} +10x+5^2=49+5^2

x^{2} +10x+5^2=74

<u><em>The step 2 is not correct</em></u>

step 3

Rewrite as perfect squares

(x+5)^{2}=74

step 4

take square root both sides

x+5=\pm\sqrt{74}

step 5

Find the values of x

x=-5\pm\sqrt{74}

x=-5+\sqrt{74}

x=-5-\sqrt{74}

5 0
3 years ago
Which property can be used to expand the expression -2(3/4*+7)?
nika2105 [10]

Answer:

C. The distributive property

Step-by-step explanation:

The distributive property of binary activities is generalized in mathematics by the distributive law of Boolean algebra and elementary algebra. Distribution applies, in propositional logic, to two clear substitution laws. The rules allow one to reformulate, within logical facts, conjunctions and disjunctions.

7 0
2 years ago
Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2
4vir4ik [10]

Answer:

\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}

Step-by-step explanation:

We are given the function:

\displaystyle g(x)=-\frac{3}{x-2}+2

Let's find the inverse of g.

Call y=g(x):

\displaystyle y=-\frac{3}{x-2}+2

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

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

Operate:

yx-2y=-3+2x-4

Collect the x's to the left side and the rest to the right side of the equation:

yx-2x=-3-4+2y

Factor the left side and operate on the right side:

x(y-2)=-7+2y

Solve for x:

\displaystyle x=\frac{-7+2y}{y-2}

Interchange variables:

\displaystyle y=\frac{-7+2x}{x-2}

Call y as the inverse function:

\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}

5 0
3 years ago
I need to find the answer to number 2
8_murik_8 [283]

Answer:

4

Step-by-step explanation:

Just PLug in the Values, and solve using PEMDAS.

7 0
3 years ago
Read 2 more answers
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