228k views
5 votes
Solve the system by the substitution method.
2x + 7y = -5
5x - y = 6

User Grinnz
by
8.8k points

1 Answer

5 votes
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
User Sunday Ikpe
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories