Question

Solve by substitution method
8x+5y=9,3x+2y=4

Answer 1

Step-by-step explanation:

Given -

8x + 5y = 9

3x + 2y = 4

To Find -

• Value of x and y

By substitution method :-

→ 8x + 5y = 9

→ 8x = 9 - 5y

→ x = 9-5y/8

Now, substituting the value of x on 3x + 2y = 4, we get :

→ 3(9-5y/8) + 2y = 4

→ 27 - 15y/8 + 2y = 4

→ 27 - 15y + 16y/8 = 4

→ 27 + y = 32

→ y = 5

Now, substituting the value of y on 8x + 5y = 9, we get :

→ 8x + 5(5) = 9

→ 8x + 25 = 9

→ 8x = -16

→ x = -2

Hence,

The value of x is -2 and y is 5

Verification :-

• 8x + 5y = 9

→ 8(-2) + 5(5) = 9

→ -16 + 25 = 9

→ 9 = 9

LHS = RHS

And

• 3x + 2y = 4

→ 3(-2) + 2(5) = 4

→ -6 + 10 = 4

→ 4 = 4

LHS = RHS

Hence,

Verified..

It shows that our answer is absolutely correct.

Answer 2

$\large{\boxed{\underline{\underline{\bf{\red{Answer:-}}}}}}$

$\implies$ y = 5

$\implies$ x = -2

$\large\underline\mathrm{Given:-}$

• 8x+5y=9
• 3x+2y=4

$\large\underline\mathrm{To \: find}$

• value of x and y

$\large\underline\mathrm{By \: using \: substitution \: methods:}$

$\implies$ 8x + 5y = 9

$\implies$ 8x = 9 - 5y

$\implies$ x = 9 - 5y / 8

$\large\underline\mathrm{putting \: the \: value \: of \: x \: in \: equation \: (2) \: .}$

$\implies$ 3x + 2y = 4

$\implies$ 3(9 - 15y/8) + 2y = 4

$\implies$ 27 - 15y/8 + 4

$\implies$ 27 - 18y + 16y/8 = 4

$\implies$ 27 + y = 32

$\implies$ y = 5

$\large\underline\mathrm{putting \: the \: value \: of \: y \: in \: equation \: (1) \: .}$

$\implies$ 8x + 5y = 9

$\implies$ 8x + 5(5) = 9

$\implies$ 8x + 25 = 9

$\implies$ 8x = -16

$\implies$ x = -16/8

$\implies$ x = -2

$\large\underline\mathrm{Hence,}$

$\large\underline\mathrm{The \: value \: of \: x \: is \: -2 \: and \: y = 5 \: .}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$