Question

Solve the following problem using the substitution method. Please make sure to show all of your work.

x + y = 3
y = x + 5

Answer 1

x=-1, y=4. (-1, 4).

Explanation:

x+y=3

y=x+5

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x+(x+5)=3

x+x+5=3

2x+5=3

2x=3-5

2x=-2

x=-2/2

x=-1

y=-1+5=4

Answer 2

Answer: x=-1,y=4

Explanation:

x + y = 3

y = x + 5

subtract x from both sides of the equation so you get

x + y = 3

-x + y = 5

use the elimination method and you'll get

2y = 8

simplify and

y = 4

now use that to get x

x + 4 = 3

x = -1

Therefore, the answer is

x = -1, y = 4