Question

1. 2x + 5y = 3

3x + 10y = -3
solution: ( , )
type a response

Explanation:

Step1: Eliminate y by multiplying first equation

Multiply the first equation \(2x + 5y = 3\) by 2 to get \(4x + 10y = 6\).

Step2: Subtract the second equation

Subtract the second equation \(3x + 10y = -3\) from the new first equation: \((4x + 10y) - (3x + 10y) = 6 - (-3)\). Simplify to \(x = 9\).

Step3: Substitute x into first equation

Substitute \(x = 9\) into \(2x + 5y = 3\): \(2(9) + 5y = 3\) → \(18 + 5y = 3\).

Step4: Solve for y

Subtract 18: \(5y = 3 - 18 = -15\). Divide by 5: \(y = -3\).

Answer:

\((9, -3)\)