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What is the value of y in the system of equations shown below?

7x − 7y = 49
3x − 16y = 34

User Koehlma
by
9.0k points

2 Answers

3 votes

Answer:

y=-1

Explanation:

did it

User RudyD
by
7.6k points
4 votes

Answer:
y=-1

Explanation:

Given the following system of equations:


\left \{ {{7x - 7y = 49} \atop {3x - 16y = 34}} \right.

You can use the Substitution Method to find the value of "y".

The procedure is:

1. Solve for "x" from the first equation:


7x - 7y = 49\\\\7x=49+7y\\\\x=7+y

2. Substitute this equation into the second equation of the system and solve for "y":


3x - 16y = 34\\\\3(7+y) - 16y = 34\\\\21+3y-16y=34\\\\-13y=34-21\\\\y=(13)/(-13)\\\\y=-1

User Robert Muehsig
by
8.0k points

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