Question

Solve each system of linear equations by substitution x+y=3 -x+y=5​

Answer 1

x = -1, y = 4

Explanation:

x + y = 3

-x + y = 5

This means that y = 3 - x

We can substitute this value into the equation

-x + y = 5

-x + 3 - x = 5

3 - 2x = 5

Subtract 3 from both sides

-2x = 2

Divide both sides by -2

x = -1

Plugging this number into the equation, we have:

-1 + y = 3

Add 1 to both sides

y = 4