Question

3х + 4 = 12 ; y= 2х + 3 simultaneous equation​

Answer 1

➥ x = 8/3, y = 25/3

Step-by-step explanation:

Given:

• Two equations: 3x + 4 = 12 and y = 2x + 3 are given.

To find:

• We need to find the value of x and y by solving the given equations.

Solution:

☯ Considering the first equation:

⇒ 3x + 4 = 12

⇒ 3x = 12 - 4

⇒ 3x = 8

⇒ x = 8/3

☯ Considering the second equation:

⇒ y = 2x + 3

⇒ y = 2 × 8/3 + 3

⇒ y = 16/3 + 3

⇒ y = (16 + 9)/3

⇒ y = 25/3

☯ Therefore, the values of x and y are 8/3 and 25/3.

Verification:

☯ Let's verify the first equation to check whether the value of x is right or wrong.

⇒ 3x + 4 = 12

[Substituting x = 8/3]

⇒ 3(8/3) + 4 = 12

[3 gets cancelled here.]

⇒ 8 + 4 = 12

⇒ 12 = 12 [LHS = RHS]

☯ Hence verified!