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

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

asked
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! :)

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

answered
User Alexey Ten
by
8.2k points

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