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+y =2 {4 x-3 y =-3

Answer 1

To solve the given system of equations, use the method of substitution to find the values of x and y. The solution is (x, y) = (3, 5).

Step-by-step explanation:

To solve the given system of equations:

{-x+y=2

4x-3y=-3}

We can use the method of substitution.

1. Solve the first equation for x:

x = y - 2

2. Substitute the value of x in the second equation:

4(y - 2) - 3y = -3

Simplify and solve for y:

4y - 8 - 3y = -3

y - 8 = -3

y = 5

3. Substitute the value of y back into the first equation to solve for x:

-x + 5 = 2

-x = -3

x = 3

Therefore, the solution to the system of equations is (x, y) = (3, 5).