Answer:
(3, 4)
Explanation:
Pre-Solving
We are given the following system of equations:
x + y = 7
x + 2y = 11
We want to solve to find the values of x and y.
Solving
There are three ways to solve a system of equations: substitution, graphing, and elimination.
Any one of these methods will work, however let's do elimination for this.
To eliminate, we can add or subtract the equations together to clear the variables.
It is helpful to rewrite this system as:
x + 2y = 11
x + y = 7
We can subtract x + y = 7 from x+2y=11:
x + 2y = 11
-(x+y = 7)
This is equivalent to:
x + 2y = 11
-x - y = - 7
_________
0 + y = 4
So, y = 4
Now, we need to find x.
We can plug in 4 for y in either x + y = 7 or x + 2y = 11.
Taking x + y =7 for instance:
x + 4 = 7
Subtract 4 from both sides.
x = 3
So, x = 3 and y =4
As a point, this is (3, 4).