Solve the system of equations below.
2 x 4 y = 10
2 x 4y = -10

a. x=3, y=1
b. x=6, y= -4
c. no solution
d. infinitely many solutions

C) No solution

Let’s solve this. First we need to put the first equation into y=mx+b form. Let’s do this now.

First equation-

2•4y=10

*subtract 2*

4y=8

*divide 4*

y=2

Now that we know the value of y, let’s substitute that into the second equation.

2•4y= -10

2•4(2)= -10

2•8= -10

16= -10

When solved, these equations produce a result where both sides do not equal each other. 16 does not equal -10, making this have no solution.

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