Review the graphs of a system of two linear equations in two variables: 4x+3y=15 and y=x+5. Find the solution to both equations.

(1 point)

Give the intersection point

1 answer

The solution to both equations is the point where they intersect.

To find this point, we can substitute the value of y from the second equation into the first equation:

4x + 3(x+5) = 15
4x + 3x + 15 = 15
7x + 15 = 15
7x = 0
x = 0

Now substitute the value of x back into the second equation to find the value of y:

y = x + 5
y = 0 + 5
y = 5

Therefore, the solution to both equations is the point of intersection (0, 5).