Answer is ( 1 1/3, 2 1/3 )
Graph attached
You can also solve by substitution methods
Substitution:
Change the 2nd equation so x is on one side by subtracting 2y from both sides
Now we have
7x -y = 7
x = -2y + 6
Substitute the value of x in the 2nd equation for x in the first equation
7 (-2y + 6) - y = 7
Multiply
-14y + 42 -y = 7
Simplify
-15y + 42 = 7
Subtract 42 from both sides
-15y + 42 - 42 = 7 - 42
Simplify
-15y = -35
Divide both sides by -15
-15/-15y = -35/-15
y = 7/3 or 2 1/3
Substitute value of y into one equation to solve for x
7x - 7/3 = 7
Add 7/3 to both sides to isolate variable
7x -7/3 + 7/3 = 7 + 7/3
Simplify
7x = 28/3
Divide both sides by 7 to solve for x
Remember when you divide fractions you flip the divisor and multiply
7/7 x = 28/3 * 1/7
x = 4/3 or 1 1/3