Question

Solve the system by the substitution method. 2x + 7y = -5 5x - y = 6

Answer 1

Answer:
X= 1
Y= -1
Explanation:
Step 1:
Get the y in 5x-y=6 alone on one side of the equation by adding it over to the other side
(5x=6+y) then subtract the 6 to the other side
(5x-6=y)
Step 2: plug this entire new equation in for y on your other equation it is now 2x+7(5x-6)=-5
Step Three: distribute the 7 to all parts in parentheses (2x+35x-42=-5)
Step 4: combine like terms
37x-42=-5
Step 5:
Add the 42 to the other side
37x=42-5 —> 37x=37
Step 6:
Divide by 37 on both sides to find x
37/37= 1 (1=x)
Step 7:
Plug your x value in as x for either equation
Ex: 2(1)+7y=-5
2+7y=-5
7y=-5-2
7y=-7
7/-7=-1
Y=-1
Or
5(1)-y=6
5-y=6
5=y+6
5-6=y
-1=y