Question

Solve the system of equations by graphing.
x+y=-7
4x+y=19

Answer 1

( 8.667 ,-15.667) is the solution of given equation.

Explanation:

We have given the system of equations.

x+y=-7 eq(1)

4x+y=19 eq(2)

We have to solve the system of equations by graphing.

In eq(1),

y=-x-7

Slope = -1 and y-intercept = -7

In eq(2),

y= -4x+19

slope = -4 and y-intercept = 19 .

Intersection point of equations is the solution of system of equations.

We have attached the graph and intersection point is ( 8.667 ,-15.667).

Answer 2

See attachment below

Explanation:

Consider the given system of equation

x + y = -7 ........(1)

4x + y = 19 ..........(2)

Consider the equation (1)

x + y = -7

We first find different values of x and y that satisfies (1),

1) x = 1 , y = -7-1 = -8

We get one point as (1,-8)

2) x= 2 , y = -7 -2 = -9

We get point as (2 ,-9)

3) x = 0 , y = -7

We get point as (0 ,-7)

Similarly, find different values of x and y that satisfies (2),

4x + y = 19

1) x = 2 , y = 19 - 8 = 11

We get point as (0,11)

2) x= 3 , y = 19 - 12 = 7

We get point as (3 , 7)

3) x= 4 , y = 19 - 16 = 3

We get point as (4 ,3)

Now , we plot these point on the graph paper, we obtained graph as, (as attached below)