Use the elimination method to solve the system of equations.
x + y = 7
2x + y = 11
x + y = 7
2x + y = 11
x + y = 7
2x + y = 11
---------------
-x = -4 {subtracted the two equations, eliminating the y}
x = 4 {divided each side by -1}
x + y = 7 {top original equation}
4 + y = 7 {substituted 4, in for x, into top original equation}
y = 3 {subtracted 4 from each side}
x = 4 and y = 3
(4,3) is the solution to the system of equation. This means the coordinates (4,3) are where the two lines intersect, when graphed, as shown below.
2x + y = 11
---------------
-x = -4 {subtracted the two equations, eliminating the y}
x = 4 {divided each side by -1}
x + y = 7 {top original equation}
4 + y = 7 {substituted 4, in for x, into top original equation}
y = 3 {subtracted 4 from each side}
x = 4 and y = 3
(4,3) is the solution to the system of equation. This means the coordinates (4,3) are where the two lines intersect, when graphed, as shown below.
- Algebra House