Find the value of in the solution to the system of equations shown. y=5x + 3
2y=18x + 10

x = -1/2     y = 1/2

Step-by-step explanation:

y = 5x + 3 ————> (1)

2y = 18x + 10 ————> (2)
Substitute for y in second equation

2(5x + 3) = 18x + 10    Distributive property

10x + 6 = 18x + 10       Subtract 10x from both sides

6 = 8x + 10                  Subtract 10 from both sides

-4 = 8x                         Divide both sides by 8

x = -1/2

Substitute for x using the first equation

y = 5(-1/2) + 3

y = - 5/2 + 3

y = 1/2

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7200

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option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.