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Serggg [28]
3 years ago
12

Help me pleasee. Solve the system by substitution

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

(3, - 2 )

Step-by-step explanation:

Given the 2 equations

4x - 2y = 16 → (1)

y = - 5x + 13 → (2)

Substitute y = - 5x + 13 into (1)

4x - 2(- 5x + 13) = 16 ← distribute and simplify left side

4x + 10x - 26 = 16

14x - 26 = 16 ( add 26 to both sides )

14x = 42 ( divide both sides by 14 )

x = 3

Substitute x = 3 into (2) for corresponding value of y

y = - 5(3) + 13 = - 15 + 13 = - 2

solution is (3, - 2 )

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Ronch [10]

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

4 0
3 years ago
Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.
Mariulka [41]

Answer:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

Step-by-step explanation:

The original expression given in the text is

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)  (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

\frac{3}{2}x+14-\frac{3}{2}x+15 (2)

Let's verify each of the other expressions separately. For the first one:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)

Which is equivalent to (1).

For the 2nd one:

2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

\frac{3}{2}x+14+\frac{3}{2}x-15

Which is different from (2).

For the 3rd one:

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

\frac{3}{2}x+14-\frac{3}{2}x+15

8 0
4 years ago
Read 2 more answers
What is the product of (n -8)(n + 2)?
xenn [34]

Answer:

n2-6n-16

Step-by-step explanation:

n(n+2)-8(n+2)

n2+2n-8n-16=

n2-6n-16

6 0
3 years ago
Solve the inequality -2x+20<2x+4
fomenos

Answer:

x<4

Step-by-step explanation:

-2x+20<2x+4

−2x+20−2x<2x+4−2x

−4x+20<4

−4x+20−20<4−20

−4x<−16

−4x/-4<-16/-4

x<4 its a open circle

8 0
3 years ago
Graph f(x)=2x and g(x)=2^x on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in t
Serjik [45]

Answer:

(1,2)\:\:and\:\:(2,4)

Step-by-step explanation:

The graph of the two functions are shown on the same diagram in the attachment above;

The solution to the equation f(x)=g(x) is where the two graphs intersected.

These points are

(1,2)\:\:and\:\:(2,4)

8 0
3 years ago
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