On solving the given set of equations, we get the value of y = 3.
What do we mean by simultaneous equations?
A set of equations having two or more variables whose values can satisfy all the equations in the set at the same time, with the number of variables equal to or fewer than the number of equations in the set is called simultaneous equations.
How do we solve the given question?
We are given a set of simultaneous equations in x and y,
x + 2y = 1
x - 2y = 13.
We are asked to find the value of y.
Let the equations
x + 2y = 1... (i)
x 2y = 13 ... (ii).
To solve for y, we subtract (i) from (ii) to get,
[tex]x - 2y = 13\\x+2y=1\\(-)(-)(-)\\------\\-4y = 12[/tex]
∴ We get -4y = 12.
Dividing both sides of this equation by -4, we get,
(-4y)/(-4) = 12/(-4)
or, y = -3.
∴ On solving the given set of the equation we get the value of y = 3.
Learn more about simultaneous equations at
brainly.com/question/148035
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