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y=-13x-4

y=3x+6

3 answers

To find the point of intersection between the two equations, we can set them equal to each other and solve for x:

-13x - 4 = 3x + 6

-13x - 3x = 6 + 4

-16x = 10

x = -10/16

x = -5/8

Now that we have x, we can substitute it back into either equation to solve for y. Let's use the first equation:

y = -13(-5/8) - 4
y = 65/8 - 4
y = 65/8 - 32/8
y = 33/8

Therefore, the point of intersection between the two equations is (-5/8, 33/8).
would it be
one solution
no solution
or infinite solutions
Since we found a specific point of intersection (-5/8, 33/8), there is one unique solution for the system of equations. So, the correct answer is one solution.