Question

Choose the graph that matches the following system of equations:

4x + y = −1
3x + 2y = 8

Answer 1

These two system of equations do not have a similar graph

Explanation:

Heres my math. for the first equation

Slope: −4

Y-Intercept: −1

x y

0 −11

1 −5

heres my math for the second equation

Slope: −32

Y-Intercept: 5

x y

0 5

1 7/2

Answer 2

We have tog graph the system of equations which are given as:

4x + y = −1 ( The graph of this equation is a straight line passing through (-1/4,0) and (0,-1) ).

and 3x + 2y = 8. ( The graph of this equation is a straight line passing through (8/3,0) and (0,4) ).

Now we will find the point of intersection of these two graphs:

we will solve these two equation by the method of substitution we will substitute the value of y in terms of x.

y=-1-4x

now by equation 2:

3x+2y=8

3x+2(-1-4x)=8

3x-2-8x=8

-5x-2=8

5x= -10

x= -2

Hence we get y= -1-4×(-2)=-1+8= 7

Hence, the point of intersection of the two lines are:

(-2,7)