Question

Solve system of linear equation by substitution -x+y=2; 3x-5y=-4

Answer 1

Answer:

(-3,-1)

Step-by-step explanation:

-x+y=2

3x-5y=-4

in the top equation, we can get y by itself on one side of the equation:

-x+y=2

y=x+2

now, since we know that y=x+2, in the bottom equation we can substitute x+2 for y (substitution method) and solve:

3x-5y=-4

3x-5(x+2)=-4

3x-5x-10=-4

-2x-10=-4

-2x=6

x=-3

since we now know that x=-3, we can use it to find y by plugging in -3 for x in the top equation (you can do it in either equation, but doing it in the top equation is easier):

y=x+2

y=-3+2

y=-1

answer: (-3, -1)