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Advocard [28]
2 years ago
7

Which expression can you substitute in the indicated equation to solve the system of equations below?

Mathematics
1 answer:
Mama L [17]2 years ago
4 0

You can see almost immediately that the second equation, 3x + y = -2, can be solved for y: y = -3x - 2. (Answer A). This -3x - 2 can in turn be subbed for y in the first equation, 4x + 3y = 4. Doing so, we get 4x + 3(-3x - 2) = 4.

Carrying out the indicated opeations: 4x - 9x - 6 = 4, or -5x = 10. Thus,

x = -2. Find y using y = -3x - 2 (from above): y = -3(-2) - 2 = 4.

Thus, the solution is (-2,4). We were not asked to solve this system of equations, but doing so illustrates the helpfulness of elimination of variables in solving simultaneous equations.

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What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15
Sunny_sXe [5.5K]

Answer:

  • y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

<u>Given line:</u>

  • 3x + 5y = 15

<u>Converting into slope-intercept form:</u>

  • 3x + 5y = 15
  • 5y = - 3x + 15
  • y = -3/5x + 3

<u>Parallel lines have the same slope, so the parallel line will be:</u>

  • y = -3/5x + b

<u>Using given point (-5, -3) finding the y-intercept:</u>

  • -3 = -3/5(-5) + b
  • -3 = 3 + b
  • b = -3 - 3
  • b = -6

<u>So the line is:</u>

  • y = -3/5x - 6

<u>Or converted into standard form:</u>

  • y = - 3/5x - 6
  • 3/5x + y = -6
  • 3x + 5y = -30
8 0
3 years ago
Given the speeds of each runner below, determine who runs the fastest.
alexandr402 [8]

Answer:

Brooke

Step-by-step explanation:

We can solve this by figuring out how far each person runs a second

Stephanie runs 12 feet a second so nothing needs to be done here

Liz runs 306 feet in 38 seconds. To solve for the distance ran in 1 second we can divide (306/38)= around 8 feet

Will runes 1 mile in 491 seconds. A quick search will tell use that 1 mile is equal to 5280 feet and 5280/491 = 10.75

Brooke runs 851 feet in 1 minute or 60 seconds. 851/60 =14.18

Brooke obviously runs the furthest in one second and therefore she's the fastest runner

5 0
2 years ago
Read 2 more answers
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
Travka [436]

Answer:  3/2

Step-by-step explanation:

Since, two variables are called proportional if there is always a constant ratio between them.

And, The constant is called the coefficient of proportionality or proportionality constant.

Let x and y are  proportional to each other.

Therefore, x ∝ y ⇒ y=kx

Where k is any constant.

For, x=2 and y=3 k= 3/2

For, x=4 and y=6, k=3/2

For x=6 and y=9, k= 3/2

Since, here the value of k is constant.

Therefore, k is the coefficient of proportionality.

And, given table is propositional.


3 0
3 years ago
What is the volume of a fish bowl?
irina [24]

Answer:

A fish bowl holds <em>more than 1 liter.</em>

Step-by-step explanation:

hope this helps.

3 0
2 years ago
Find the measure of ∠C if ∠A = 5 2 x + 30 ∠B = 7 2 x + 40 ∠C = 9 2 x + 10 ∠D = 5 2 x + 20
cricket20 [7]
What is the shape? I think you have to know that to find the answer.
8 0
3 years ago
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