Problem

(1) What is the solution to the system of equations (D) The system of equations shown below? \( 2 x+y=10 \) \( 4 x+3 y=15 \) (D) \( (-5,0) \) (A) \( (2.5,-5) \) (B) \( (7.5,-5) \) (C) \( (-5,20) \)

Solution

Step 1 :Step 1: Multiply the first equation by -2: \( -4x - 2y = -20 \)

Step 2 :Step 2: Add the second equation to the new first equation: \( -y = -5 \)

Step 3 :Step 3: Solve for y: \( y = 5 \)

Step 4 :Step 4: Substitute the value of y back into the first equation: \( 2x + 5 = 10 \)

Step 5 :Step 5: Solve for x: \( x = 2.5 \)

Step 6 :Step 6: The solution to the system of equations is \( (2.5, -5) \)

From Solvely APP
Source: https://solvelyapp.com/problems/20925/

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