Answer:
Solution is (2,1)
Step-by-step explanation:
In order to graph both lines ,we need to find the X and Y intercepts for both equations
Lets take equation y =2x -3
To find y intercept ,we plug x =0 ,we get y =2(0)-3 = 0-3 =-3
Y intercept is (0,-3) Which is point 'C' in the graph
To find X intercept ,we plug y =0 ,we get 0 = 2x-3 or x = 3/2 or 1.5
X intercept is (1.5,0) Which is point D in the graph.
Lets take equation y =-2x+5
To find y intercept ,we plug x =0 ,we get y = -2(0)+5 = 0+5 = 5
Y intercept is (0,5) which is point A in the graph .
To find X intercept ,we plug y =0 ,we get 0 =-2x+5 or x = 5/2 or 2.5
X intercept is (2.5,0) which is point B on the graph
After getting intercept of both lines ,we plot both lines
In the graph Blue line shows y=2x-3 and Red line shows y =-2x+5
both lines intersect at point E which is called the solution of both equation
which is given to be (2,1)
In synthetic division we write only the coefficients of the dividend inside an upside-down division symbol. As we can clearly see from the picture given to us in the question, the coefficients of the dividend inside the upside-down division symbol are 2, 10, 1 and 5.
Now, from the given options, the only option that matches the given coefficients is the second option which is: .
Thus, the second option, , is the correct option.