What is the solution to the system of equations? y = -3x + 8 and y = -5x - 2

Solution:

y = -3x + 8 …. (1)

y = -5x - 2 …. (2)

Let us use the substitution method to solve the system of linear equations in two variables.

Equation (1) can be written as

3x + y = 8 …. (3)

Substituting equation (2) in (3)

3x + (-5x - 2) = 8

3x - 5x - 2 = 8

By further calculation

-2x - 2 = 8

-2x = 8 + 2

-2x = 10

Divide both sides by -2

x = -5

Substituting the value of x in equation (1)

y = -3 (-5) + 8

y = 15 + 8

y = 23

Therefore, the solution to the system of equations is (-5, 23).

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What is the solution to the system of equations? y = -3x + 8 and y = -5x - 2

Summary:

The solution to the system of equations y = -3x + 8 and y = -5x - 2 is (-5, 23).