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3 years ago

3x+y= 7 2x+y= 6 what is x and what is y

Mathematics

1 answer:

weeeeeb [17]3 years ago

6 0

X=1; so then y must = 4

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Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the information want:

value of x
value of y

Let's gather some information:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the Angle-Angle Theorem*, they are similar triangles

If they are similar triangles:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

Answer:

x= 17.143
y = 26.25

Hope that helps!

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5 0

2 years ago

In what direction is the line containing the points (-4, -6) and (2, -8) going?

bekas [8.4K]

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6 0

3 years ago

PLEASE HELP QUESTION IN PIC.

PolarNik [594]

Answer:

21.8

Step-by-step explanation:

3 0

3 years ago

Please help me its a propotional question and answer of Z Y X

tino4ka555 [31]

Since the only two corresponding side you have are 10 units and 4 units, you can divide these two numbers to get the scale factor.

10÷4=2.5

next you find the sides corresponding to X Y and Z and if it is on the bigger figure you divide, if it is on the smaller side you multiply

X corresponds with 5 (so ×2.5)
Y corresponds with 8 (÷2.5)
Z corresponds with 10 (÷2.5)

final answer is X=12.5 Y=3.2 Z=4

I try to explain the question and give the answer, I hope this helps!

5 0

3 years ago

9 minutes less than Frances time as an expression

Naya [18.7K]

Let Frances time = F

9 minutes less than frances time = F - 9

F - 9 is your expression

hope this helps

5 0

3 years ago