Question

How many intersections are there of the graphs of the equations below? 1/2 x + 5y = 6 3x + 30y = 36 none one two infinitely many

Answer 1

Once you graph the equation, you will notice that the lines are actually the exact same. If they’re the exact same your answer must be...
C. Infinitely Many

Answer 2

Answer:

Infinitely Many

Step-by-step explanation:

We are given system of equation.

$\frac{1}{2}x+5y=6$

$3x+30y=36$

We need to find intersection point of system of equation.

If we multiply first equation by 6

$6\times \frac{1}{2}x+6\times 5y=6\times 6$

$3x+30y=36$

Equation 1st is equivalent to 2nd equation.

If system of equation has same coefficient then number of solution is infinite.

Now we draw the graph of both function. Please see the attachment.

Hence, Infinitely many intersections of two equation.