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svetlana [45]
3 years ago
10

Solve the system of equations: y = x-4 -2x + y = 18

Mathematics
1 answer:
Pie3 years ago
6 0

Answer:

x = 7.3

Step-by-step explanation:

-2x + x-4 = 18

First, Combine Like Terms

-3x + (-4) = 18

Then, do Inverse Operations

-3x + -4 = 18

       + 4   +4

Cancel out the -4 +4 because it will equal zero and won't matter to the equation

-3x = 22

Do Inverse Operations again. In this case, you will divide.

-3x = 22

-3x/-3 = 22/-3

Cancel out the -3x/-3

22/-3 = x

7.3 = x

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PLS HELP any hints appericated(40 Points)
Viefleur [7K]

Answer:

  • See below

Step-by-step explanation:

1) Solve the equation: [4ax - (a + b)](a + b) = 0, where a and b are constants.

  • if a + b = 0, then x has infinitely many solutions

or

  • 4ax = a + b
  • x = (a + b)/4a, a≠0

2) Solve the equation m²x + 1 = m(x + 1), where m is a parameter.

  • m²x + 1 - mx - m = 0
  • (m²- m)x = m - 1
  • m(m - 1)x = m - 1
  • mx = 1
  • x = 1/m, m≠0

3) Given that the equation a(2x - 1) = 3x - 3 has no solution, find the value of the parameter a.

  • a(2x - 1) = 3x - 3
  • 2ax - a = 3x - 3
  • 2ax - 3x = a - 3
  • (2a - 3)x = a - 3
  • x = (a - 3)/(2a - 3)

<u>The equation has no solution if:</u>

  • 2a - 3 = 0
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  • a = 1.5
3 0
3 years ago
What is the equation of a line with a slope of ​3​ and a point (3, 1) on the line?
topjm [15]
The equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,1) and m=3

y-1=3(x-3)
y-1=3x-9
y=3x-8
8 0
3 years ago
Gina has a $50 gift card to a bagel shop. Each Friday, she purchases breakfast for $6. She created a graph to represent the amou
Ghella [55]

Answer:

No, because the amount of money on her gift card should decrease each week.

Step-by-step explanation:

Well, the graph shows that the slope is increasing, if you got $50.00 and spend $6.00 each Friday, wouldn't that be  decrease and not increase? This is why we eliminate the yes options. Lastly, of course, they should not start at the origin as they started at $50.00.

Proof I got it correct:

4 0
3 years ago
What is the basic ratio for 30:42
lianna [129]
30:42 is represented as 30/42
The lowest form for that is 5/7. Hope that helped. Good luck
6 0
3 years ago
Find the missing measures of the following rectangle
Allushta [10]

Answer:

see explanation

Step-by-step explanation:

In a rectangle

• All angles are right angles

• the diagonals are congruent

In Δ WXV the sum of the 3 angles = 180°

∠ WXZ = ∠ XWY = \frac{180-64}{2} = \frac{116}{2} = 58°

∠ YXZ = 90° - 58° = 32°

∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )

∠ XWZ = 90° ( by definition of rectangle )

∠ XZY = ∠ WXZ = 58° ( corresponding angles )

7 0
3 years ago
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