Question

What is the solution to the system of

equations graphed below?

a.(-13,-20)
b.(-15,-22)
c.(-1,-8)
d.(-10,-15)

Answer 1

(-13,-20)

Explanation:

We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7

and the second equation is y = 2x+6

Therefore, we have two equations.

`\large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}`

Because both equations are equal (y=y)

x-7=2x+6

-7-6=2x-x

-13=x

We know the value of x, but not y-value. We substitute the value of x to get the value of y.

Substitute in any given equations which I will be substituting in the first equation.

y=-13-7

y = -20

Therefore when x = -13, y = -20

In coordinate form, we can write as (-13,-20).

If you have any questions, feel free to ask.