Question

Solve the system of equations by graphing. Check your solution.

5x+y=14
2x-y=7

Answer 1

ANSWER

(3,-1)

Step-by-step explanation

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14


`x = (14)/(5) = 2 .8`

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1