Carlos solved a system of linear equations. He found that exactly one point satisfied both equations. What do you know for certain is true about the two lines

The two lines intersect (in other words, they have a common meeting points)

Step-by-step explanation:

Thinking process:

A linear equation takes the form of

where ,  m = gradient

             c = y-intercept (point where the line cuts the y-axis)\

Suppose we have these two linear equations:

We can find the point of intersection by solving the two equations simultaneously like this:

sub y = 2x + 4 into equation (2) gives:

2(2x+4) = -6x -1

solving yields - 0.9

Substituting x= -0.9 into equation 1 yields:

y = 2.2

In terms of the Cartesian coordinates (x, y) the point of intersection will be (-0.9, 2.2)

Hence, the point of intersection is a solution of two linear equations.

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.