Question

use substitution to solve system of equations. y=x+5 3x+y=25

Answer 1

x=5, y=10

Answer 2

1. 3X+Y=25
2. Y= X+5

Since Y is already solved for it is in Slope Intercept form ( Y=mx+b) plug that value in to # 1's Y value:

3X+Y=25

3X +( X+5)= 25
3X + X+ 5=25

Combine like terms:

4X + 5 = 25

To solve the equation get variables on one side and numbers on the other by subtracting -5 from each side:

4X +5-5=25-5

4x=20

Divide by each side to get 4:

X= 5
Now Back Substitute to get the other point in the answer, plug in X=5 into Y= X+5 and solve:
Y= X+ 5
Y= (5)+5
Y= 10
Solution is:
(5, 10)

Answer 3

y=x+5 , 3x-25=-y, make an addition you will get ,4x=20 so x=20/4 which is 5, y=x+5 so then ,replace by the value of x , y=10

Answer 4

Y=4x+5
2x+y=17 (2,13)
how do i use substitution to solve system of equations?