Chapter 9.6, Problem 20HP

To determine

Tofind: the system of the equations that has the solution $\left(1,7\right)$ .

Answer to Problem 20HP

The system of the equations that has the solution $\left(1,7\right)$ is $y=7x\text{ and }y=x+6$ .

Explanation of Solution

Given information:

the solution of system of equations is $\left(1,7\right)$ .

Calculation: since, solution of system of equations is $\left(1,7\right)$ ,

Then $x=1,y=7$ .

Let one equation is $y=7x$ , the solution satisfy the equation,

The another equation should be $y=x+6$ .

Thus, the system of equations is $y=7x\text{ and }y=x+6$ .