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pav-90 [236]
3 years ago
5

What is the x-value of the solution to the system of equations?5x + 4y = 82x - 3y = 17​

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

  x = 4

Step-by-step explanation:

You can eliminate the y-variables by adding 4 times the second equation to 3 times the first:

  3(5x +4y) +4(2x -3y) = 3(8) +4(17)

  15x +12y +8x -12y = 24 +68 . . . . eliminate parentheses

  23x = 92 . . . . . . . . . collect terms

  x = 92/23 = 4 . . . . . divide by 23

The x-value of the solution is 4.

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−8 3/4÷2 1/6 please show me ur work
nalin [4]

Answer:

  • - 4 1/26

Step-by-step explanation:

<u>Solving in steps:</u>

  • - 8 3/4 ÷ 2 1/6 =
  • - 35/4 ÷ 13/6 =
  • - 35/4 × 6/13 =
  • - 35/2 × 3/13 =
  • - 105/26 =
  • - 4 1/26
6 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5
Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is \sqrt{n + 5} - \sqrt{n - 10} = 1 and we have to solve it for n.

\sqrt{n + 5} - \sqrt{n - 10} = 1 ........... (1)

⇒ \frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1  

{Rationalizing the numerator}

⇒ \sqrt{n + 5} + \sqrt{n - 10} = 15 .............. (2)

Now, adding (1) and (2) we get

2\sqrt{n + 5} = 16

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

4 0
3 years ago
A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing an even number or a num
inna [77]

Answer:

Step-by-step explanation:

The correct answer is 5/6 = 83.3%

I really hope this helps!

8 0
3 years ago
A frog jumps across a pond. Its height, as a function of time, is modeled by y
sdas [7]

Answer:The function is nonlinear

Step-by-step explanation:

6 0
2 years ago
ive been stuck on this question for a while :( i was absent for the first half of this lesson so i dont completely know what im
Deffense [45]

Answer:

(0, 9 ) and (- 4, 1 )

Step-by-step explanation:

To determine which ordered pairs lie on the graph substitute the x- coordinate of the point into the right side of the equation and compare the value obtained with the y- coordinate

(- 20, - 49 )

2x + 9 = (2 × - 20) + 9 = - 40 + 9 = - 31 ≠ - 49

(1, 10 )

2x + 9 = (2 × 1) + 9 = 2 + 9 = 11 ≠ 10

(0, 9 )

2x + 9 = (2 × 0) + 9 = 0 + 9 = 9 ← point lies on graph

(- 4, 1 )

2x + 9 = (2 × - 4) + 9 = - 8 + 9 = 1 ← point lies on graph

(- 3, 40 )

2x + 9 = ( 2 × - 3) + 9 = - 6 + 9 = 3 ≠ 40

5 0
3 years ago
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