Question

5x - 4y = 10

3x + 2y = 16 find the solution to
the system of equations. write solution as an
ordered pair.​

Answer 1

To solve the system of equations, use the elimination method to eliminate one variable. Then, substitute the value of the variable into one of the original equations and solve for the remaining variable. Write the solution as an ordered pair (x, y).

Step-by-step explanation:

To find the solution to the system of equations:

5x - 4y = 10
3x + 2y = 16

Here is how you can solve it:

1. Choose one equation to solve for either x or y by isolating the variable
2. Once you have the value of one variable, substitute it into the other equation
3. Solve for the remaining variable
4. Write the solution as an ordered pair (x, y)

Using the elimination method, we can solve the system of equations as follows:

First, multiply the second equation by 2:

6x + 4y = 32

Next, add the two equations to eliminate the y variable:

5x - 4y + 6x + 4y = 10 + 32

Simplify the equation:

11x = 42

Divide both sides by 11 to solve for x:

x = 3

Substitute the value of x into one of the original equations:

3(3) + 2y = 16

Simplify the equation:

9 + 2y = 16

Subtract 9 from both sides:

2y = 7

Divide both sides by 2 to solve for y:

y = 3.5

Therefore, the solution to the system of equations is (3, 3.5) as an ordered pair.