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Solve by substitution.
(x - 4y = 20
(2x + 5y = 1

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Final answer:

To solve the system of equations by substitution, we'll solve one equation for x, substitute that expression into the other equation, and solve for y. Then, substitute the value of y back into the first equation to solve for x.

Step-by-step explanation:

To solve the system of equations by substitution, we'll start by solving one of the equations for either x or y and then substitute that expression into the other equation. Let's solve the first equation for x:

x - 4y = 20 => x = 20 + 4y

Now substitute this expression for x in the second equation:

2(20 + 4y) + 5y = 1

Simplify and solve for y:

40 + 8y + 5y = 1

13y = -39

y = -3

Now substitute this value of y back into the first equation to solve for x:

x - 4(-3) = 20

x + 12 = 20

x = 8

So the solution to the system of equations is x = 8 and y = -3.

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