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kherson [118]
3 years ago
15

A pair of equations is shown below: y = 7x − 8 y = 5x − 2 Part A: Explain how you will solve the pair of equations by substituti

on or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points
Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0
Part A) If would probably be smart to use substitution because y is already solved for, so we can substitute the value of y as a function of x into the other equation.
y=7x-8
y=5x-2

7x-8=5x-2
    +8     +8
-----------------
7x=5x+6
-5x  -5x
----------------
2x=6
/2   /2
-----------
x=3

y=7x-8
y=21-8
y=13

Part B) The lines will intersect at point (3, 13), because idk it just makes sense
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8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2
Elza [17]

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

#SPJ9

4 0
1 year ago
If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.<br> 1<br> Find Value of y.
Ksenya-84 [330]
<h3>Answer:  y = 10</h3>

=====================================

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

  • EI = 3y-10 = 3*10-10 = 20
  • EG = 2y = 2*10 = 20

Both EI and EG are 20 units long when y = 10. This confirms the answer.

6 0
3 years ago
Find the distance between points (2,-9) and (-1,4) using the distance formula
defon
If you use the square root and put it in (-1-2)^2+(4--9)^2 it will equal = 13.34166406
8 0
3 years ago
The area of the triangle is<br> square centimeters.
Rom4ik [11]

Answer:

35cm²

Step-by-step explanation:

(7 x 10) ÷ 2 = 35

Area equation: (b x h) ÷ 2 = a

5 0
3 years ago
Anything on this page please! BIG POINTS! Please provide Explanations!
dexar [7]

Answer:

Step-by-step explanation:

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C. well 8 dollars times 84 is $672. 11 times 70 equals $770, and 9 times 75 is $675. in total $2,117.

D. i - 1176 well to start we add up all the digits to see if its sum is divisible by 9. 1+1+7+6=15. 15 is not a multiple of 9 so its not divisible.

   ii. 1260 well to see if 1260 is divisible by 8 is by taking the last 3 digits of the number and dividing it by 8. 260 divided by 8 equals 32.5. since 32.5 is a decimal and 8 can't go into 260 evenly 1260 is not divisible by 8.

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

also did you know the word divisibility has 5 i's in it? lol also the picture is for number 1 or letter a.

8 0
4 years ago
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