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arlik [135]
3 years ago
10

4x = 18-y, if x=2 and y=6

Mathematics
1 answer:
yarga [219]3 years ago
3 0
If you're using substitution, solve for the first variable in one of the equations, then substitute the result into another equation. your answer is no solution:

x = 2 ; y = 6

4x = 18 - y
4 (2) = 18 - 6
8 = 12

8 does not equal 12, there is no solution
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Answer:

Equation → 5y = 3y + 6

Value of ST = 15

Step-by-step explanation:

From the picture attached,

In right triangles ΔVST and ΔVUT,

Acute angles ∠SVT ≅ ∠UVT [Given]

TV ≅ TV [By reflexive property of congruence]

ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]

Therefore, corresponding parts of the congruent triangles are congruent.

Therefore, ST ≅ TU

5y = 3y + 6

5y - 3y = 6

2y = 6

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Therefore, ST = 5y

ST = 5(3)

     = 15

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