Question

Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in the ordered-pair form given in Example 3. {x+2 y=7 {5 x-y=2

Answer 1

To solve the system of equations, we can use the method of elimination. The solution to the system of equations is (x, y) = (1, 3).

Step-by-step explanation:

To solve the system of equations:

{x+2y=7

{5x-y=2

We can solve the system of equations using the method of elimination. First, multiply the second equation by 2 to make the coefficients of y in both equations equal. The system becomes:

{x+2y=7

{10x-2y=4

Add the two equations together to eliminate y:

(x+2y)+(10x-2y)=7+4

11x=11

x=1

Substitute the value of x back into one of the original equations and solve for y:

1+2y=7

2y=6

y=3

The solution to the system of equations is (x, y) = (1, 3).