The y-value of the solution to the system of equations is 2.
We have given a system of equation
3x + 5y = 1
7x + 4y = −13
A system of equations is a collection of two or more equations with the same set of unknowns.
First we have to find the value of x.
3x + 5y - 5y = 1 - 5y
divide both sides of the equation by 3
3x/3 = 1/3 - 5y/3
x = 1/3 - 5/3y
Now plug that into the other equation,
7(1/3 - 5/3y) + 4y = -13
7/3 - 35/3y + 4y = -13
7/3 - 7 2/3y - 7/3 = -13 - 7/3
- 7 2/3y (-3/23) = -15 1/3 (-3/23)
y = 2
The answer is 2.
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