Do the equations x = 4y + 1 and x = 4y – 1 have the same solution?

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justaguide's profile pic

Posted on

The equations given in the problem x = 4y + 1 and x = 4y – 1 are linear equations that relate two variables x and y.

The graph of the two equations are two parallel lines. No set of values satisfying the relation x = 4y - 1 is the same as that satisfying the relation x = 4y + 1. The two equations do not have a common solution.

Jyotsana's profile pic

Posted on

Let just say y=2

x=4y+1

x=4(2)+1

x=9

x=4y-1

x=4(2)-1

x=7

The two equation does not have the same solution.

niktago's profile pic

Posted on

No and first of all, they are not even equations that can be solved, they are linear equations. They are a system of equations, you find the solution of both equations by substituting a variable in one equation the corresponding variable in the other. For example i could sustitute the x's in x=4y+1 and x=4y-1, which results in 4y+1=4y-1. Then you solve for y and that is uour solution. Hope this helps for you.

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