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Chapter 4: Q. 68 (page 387)

In a system of linear equations, the two equations have the same intercepts. Describe the possible solutions to the system.

Short Answer

Expert verified

The possible number of solution is one.

Step by step solution

01

Step 1. Given information and Assuming Equation

We have been given that the system of linear equations have the same intercepts. So write equation in such a way that yintercept of both the equation is same.

Consider equation:

3x+y=-32x+3y=-9

02

Step 2. Solving the equation

Solving the two Equation using Elimination method.

3x+y=-32x+3y=-9

Multiply equation 1by 3

9x+3y=-92x+3y=-9

Substracting both equation we get:

7x+0y=0

x=0

Now lets substitute x=0in equation 2

2(0)+3y=-9

On solving we get:

y=-3

So the solution of the equation is:(0,-3)

So there exists only one solution.

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