(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) \( (-5,20) \)

Answer

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Answer

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

Steps

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 \( (2.5, -5) \)