Solve the system of equations by any method.

5x+9y =16
x+2y =4

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

Therefore, our system now becomes:

Now, we can add these two equations together and solve for y.

Now, we can substitute our value for y into one of the equations and solve for x.

Therefore, our final solution is (-4, 4).

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

explanation:

step-by-step explanation: