3x+y=8
5x+y=10
please help me sir

X = 1

Y = 5

Step-by-step explanation:

we have to figure out what x and y = that make both answers correct

3 x 1 = 3

3 + 5 = 8

That means that the first equation is right with X = 1 and Y = 5

Let's see the second equation

5 x 1 = 5

5 + 5 = 10

That means both equations are right so the answer would be

X = 1 and

Y = 5

Method of Elimination:

Given pair of linear equations are:

3x+y = 8 — — —Eqn(i)

On comparing with a₁x+b₁y+c₁ = 0

Where,

5x+y = 10 — ——Eqn(ii)

On comparing with a₂x+b₂y+c2₂ = 0

Where,

a₁/a₂ = 3/5

b₁/b₂ = 1/1= 1

c₁/c₂ = 8/10=4/5

We have,

a₁/a₂ ≠ b₁/b₂ ≠ c₁/c₂

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

3x+y = 8

5x+y = 10

(-)

-2x+0 = -2

⇛-2x = -2

⇛2x = 2

⇛x = 2/2

⇛x = 1

On Substituting the value of x in eqn(i) then

⇛3(1)+y = 8

⇛3+y = 8

⇛y = 8-3

⇛y = 5

Therefore , The solution = (1,5)

Additional comment:

attachment?

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it