Solve the system of equations.

- 10x + 3y = 5

2 = y-4

Step-by-step explanation:

10x+3y=5; x=y-4

Solution:

{x, y} = {1,5}

System of Linear Equations entered:

[1] - 10x + 3y = 5

[2] x - y = - 4

Graphic Representation of the Equations:

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

Solve by Substitution:

/ / Solve equation [2] for the variable x

[2] x = y - 4

/ / Plug this in for variable x in equation [1]

[1] - 10• (y - 4) + 3y = 5

[1] - 7y = - 35

/ / Solve equation [1] for the variable y

[1] 7y = 35

[1] y = 5

/ / By now we know this much:

x = y-4

y = 5

/ / Use the y value to solve for x

x = (5) - 4 = 1

Solution:

{x, y} = {1,5}

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