Question

Solve the system of linear equations by substitution
5y=10
x-3y=4

Answer 1

Answer: (x, y) = (10 , 2)

Step-by-step explanation: 1. Solve the equation for y: {y=2

{x-3y=4

2. Substitute the given value of y into the equation x-3y=4: x-3x2=4

3. Solve the equation for x: x=10

4. The possible solution of the system is the ordered pair (x, y): (x, y)=(10, 2)

5. Check if the given ordered pair is the solution of the system of equations: {5x2=10

{10-3x2=4

6. Simplify the equalities: {10=10

{4=4

7. Since all of the equalities are true, the ordered pair is the solution of the system. --> (x, y)=(10, 2)

So then, in conclusion, the solution must be, (x, y)=(10, 2).

Answer 2

Explanation:

To solve the system of linear equations by substitution, we'll use the equation 5y = 10 to solve for y. We'll substitute this value of y into the second equation to get an equation in terms of x. Then, we'll solve for x and substitute the value of x back into one of the equations to find y.

Starting with the first equation:

5y = 10

y = 2

Next, we'll substitute this value of y into the second equation:

x - 3y = 4

x - 3(2) = 4

x - 6 = 4

x = 10

Now that we have found x, we can substitute it back into one of the equations to find y:

5y = 10

y = 2

So the solution to the system of linear equations is (x, y) = (10, 2).