Question

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how many solutions does the system of equations below have? -7y = 4x + 4 -13x + y = -16 no solution one solution infinitely many solutions

Explanation:

Step1: Rewrite equations in slope - intercept form

For $-7y = 4x + 4$, divide by $-7$ to get $y=-\frac{4}{7}x-\frac{4}{7}$. For $-13x + y=-16$, add $13x$ to both sides to get $y = 13x-16$.

Step2: Compare slopes

The slope of the first line is $m_1=-\frac{4}{7}$, and the slope of the second line is $m_2 = 13$. Since $m_1
eq m_2$, the lines intersect at a single point.

Answer:

one solution