Question

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how many solutions does the system of equations below have? 7x - 2y = 4 14x - 4y = 8 no solution one solution infinitely many solutions

Explanation:

Step1: Check the relationship between equations

Multiply the first - equation $7x - 2y=4$ by 2. We get $2(7x - 2y)=2\times4$, which simplifies to $14x - 4y = 8$, the same as the second equation.

Step2: Determine the number of solutions

Since the two equations are equivalent (represent the same line), there are infinitely many solutions.

Answer:

infinitely many solutions