Solve the system of linear equations by substitution.

5x+2y=9

x+y = - 3

The solution for the system of linear equations is x = 5, y = - 8

Step-by-step explanation:

Let's solve the system of linear equations by substitution:

5x + 2y = 9

x + y = - 3

Solving for x in the 1st equation, this way:

5x + 2y = 9

5x = 9 - 2y

x = (9 - 2y) / 5

Substituting x in the 2nd equation:

x + y = - 3

(9 - 2y) / 5 + y = - 3

9 - 2y + 5y = - 15 (Multiplying by 5 at both sides)

3y = - 15 - 9

y = - 24/3

y = - 8

Substituting y in the 1st equation:

5x + 2y = 9

5x + 2 * - 8 = 9

5x - 16 = 9

5x = 25

x = 25/5 = 5

The solution for the system of linear equations is x = 5, y = - 8

Step-by-step explanation:

5x+2y=9 ... (1)

x+y = - 3 ... (2)

Making y as subject bin (2)

y = - 3 - x

Substituting in (1)

5x + 2 (-3 - x) = 9

5x - 6 - 2x = 9

3x = 9 + 6

3x = 15

x = 15/3

x = 5

And y = - 3 - x

y = - 3 - 5

y = - 8