Question

use the system of equations and graphs below to complete the sentences ​

Answer 1

Answer:

  Graph C; (2, 1)

Step-by-step explanation:

When equations are in standard form, finding the x- and y-intercepts is relatively easy. For ...

  ax +by = c

• x-intercept: c/a
• y-intercept: c/b

Using this idea on the first equation, we find its x-intercept to be -2. There is only one graph showing that has a line going through the point (-2, 0). That is Graph C. Checking the remaining intercepts for the two equations confirms that Graph C is the graph of this system of equations.

The two lines intersect at point (2, 1), so that is the solution to the system.

Answer 2

Answer:

The correct graph is: Graph C

and the solution for this system is: (2,1)

Step-by-step explanation:

The first equation is given by:

         $x-4y=-2-------(1)$

and the second equation is given by:

   $-2x-y=-5----------(2)$

from (1) we have:

$x=-2+4y-------------(3)$

We put the value of x in equation (2) to get:

$-2(-2+4y)-y=-5\\\\i.e.\\\\-2\times (-2)-2\times 4y-y=-5\\\\i.e.\\\\4-8y-y=-5\\\\i.e.\\\\4-9y=-5\\\\i.e.\\\\-9y=-5-4\\\\i.e.\\\\-9y=-9\\\\i.e.\\\\y=1$

Now on putting this value of y back to equation (3) we get:

$x=-2+4\times 1\\\\x=-2+4\\\\x=2$

Hence, the solution to this system of equality is: (2,1)