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Assoli18 [71]
3 years ago
15

What is the solution of the system of equations? Y=x-4 and y=-3x

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:

<u>(-7,-3)</u>

Step-by-step explanation:

step one) solve one equation for x.

y=-3x

-3x/-3=y/-3

x=(-y/3)

step two) plug in x for the other original problem.

y=x-4

y=(-y/3)-4

step three) solve for y.

y=(-y/3)-4

y+4=(-y/3)-4+4

3*(y+4)=(-y/3)*3

3y+12=-y

(3y+12)-3y=-y-3y

12/-4=-4y/-4

y=-3

step four) plug in -3 for y and solve for x.

y=x-4

-3=x+4

-3-4=x+4-4

-7=x

<em>I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!</em>

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Answer:

Option c. The result is significant at the 0.020.02 level.

Step-by-step explanation:

We are given the following in the question:

We are conducting a one tailed hypothesis test with alternate hypothesis

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The z test calculated for the same is

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Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

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Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

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∴ 2x + 9 = 17

→ Subtract 9 from both sides

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∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

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∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

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