What is the x-value of the solution to the system of equations?
5x + 4y = 8, 2x - 3y = 17.

Solution:

The value of x can be found by solving the system of equations.

5x + 4y = 8--- (1)

2x - 3y = 17 --- (2)

The coefficients of y in (1) and (2) can be made equal by multiplying (1) with 3 and (2) with 4

5x + 4y = 8 --- (1) × 3

2x - 3y = 17 --- (2) × 4

We get,

15x + 12y = 24.

8x - 12y = 68

On adding the equations

⇒ (15 + 8)x + (12 - 12)y = 24 + 68.

⇒ 23x = 92

⇒ x = 92/23

⇒ x = 4

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What is the x-value of the solution to the system of equations?
5x + 4y = 8, 2x - 3y = 17.

Summary:

The x-value of the solution to the system of equations 5x + 4y = 8, 2x - 3y = 17 is 4