Estimate the solution to the system of equations.

You can use the interactive graph below to find the solution.

7x-y=7

x+2y=6

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,

x + 2y = 6 }

2 * (7x - y = 7) ⇒ 14x - 2y = 14 ⇒ Now add the two equations

+ x + 2y = 6 + x + 2y = 6

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * (4 / 3) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3