Question

Substitution method...

Answer 1

$\huge\underline\bold\purple{★ SOLUTION :}$

Given equations,

• 4x + y = 11 ..... (1)
• 7x - 2y = 28 ..... (2)

We can write equation (1) as

• y = 11 - 4x ...... (3)

Substitute, equation (3) in (2)

➡ 7x - 2(11 - 4x) = 28

➡ 7x - 22 + 8x = 28

➡ 15x - 22 = 28

➡ 15x = 28 + 22

➡ 15x = 50

➡ x = 50/15

➡ x = 10/3

∴ x = 10/3

Substitute, the value of x in (1)

➡ 4(10/3) + y = 11

➡ 40/3 + y = 11

➡ y = 11 - 40/3

➡ y = (33 - 40)/3

➡ y = -7/3

VERIFICATION :

➡ 4(10/3) + (-7/3)

➡ 40/3 - 7/3

➡ 33/3

➡ 11

∴ Hence, it is verified.

$\boxed{∴ x = \frac{10}{3} \: ; \; y = \frac{ - 7}{3} }$

Step-by-step explanation:

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