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4 years ago

Solve the system of linear equations below.

Mathematics

2 answers:

Anon25 [30]4 years ago

8 0

Asking the Math Gods...

y=6
x=2

Nat2105 [25]4 years ago

7 0

Answer:

Option (b) is correct.

x = 2 and y = 6 is the solution to the given system of linear equation.

Step-by-step explanation:

Given: The system of linear equation

2x + 5y = 34

x + 2y = 14

We have to solve the given system of linear equations.

Consider the given system of linear equation

2x + 5y = 34 .....(1)

x + 2y = 14 .......(2)

We solve the syatem using elimination method,

Multiply equation (2) by 2, we get,

(2) ⇒ 2x + 4y = 28 .....(3)

Subtract equation (1) and (3) , we have,

2x + 5y - (2x + 4y) = 34 - 28

Simplify, we get,

y = 6

And put y = 6 in (2), we get,

x + 2(6) = 14

x = 14 - 12

x = 2

Thus, x = 2 and y = 6 is the solution to the given system of linear equation.

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3 years ago

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3 years ago

Read 2 more answers