Question

A system of equations is graphed here. Which system of equations does the graph represent? (-2,9) -5 (-2,-4) 10- 1.0 0 -5- -10- (1,5) 5 (3, 1) 10​

Answer 1

The system of equations is represented by:

y = 3x

2y = -6

The solution is:

x = -1

y = -3 .

Step 1: Rearrange terms in standard form

We need to rewrite both equations in slope-intercept form (y = mx + b) to be able to solve for x and y.

The first equation is already in standard form:

y = 3x + 0

The second equation, 2y = -6, can be rearranged as follows:

y = -3

Step 2: Solve for x

Since we already have the value of y from the second equation (y = -3), we can substitute it into the first equation to solve for x:

-3 = 3x + 0

-3 = 3x

-1 = x

Therefore, x = -1.

Step 3: Solve for y

Now that we know the value of x, we can substitute it back into either equation to solve for y.

Let's use the first equation:

y = 3(-1) + 0

y = -3

Therefore, y = -3.