138k views
4 votes
Solve the system of equations by substitution

Y=3x-7
2x+5y=16

User Saus
by
7.8k points

2 Answers

1 vote
Substitute 3x - 7 for y in 2x + 5y = 16, then solve for x:
2x + 5(3x - 7) = 16

Distribute the 5:
2x + 15x - 35 = 16

Add like terms:
17x - 35 = 16

Add 35 on both sides:
17x = 51

Divide 17 on both sides:
x = 3

Now that we found that x = 3, we can substitute that into y = 3x - 7 to solve for y

y = 3(3) - 7
y = 9 - 7
y = 2

So y = 2, that means the solution to the system of equations is (3, 2).

Hope this helps! :)

User Squarephoenix
by
7.8k points
4 votes
x equals 3 do you want an explanation

User Alexey Ten
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