SOLUTION: Solve the following system by the addition method 0.05x + 0.10y = 1.3 and x + y = 19

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0.05x + 0.10y = 1.3
x + y = 19
First I would multiply the first equation by 20 to make the x coefficient 1.
x+ 2y= 26
x+ y= 19
Now subtract the second equation from the first:
y=7
When we plug y=7 into the second equation,
x==19-7=12
Which gives us our answer.
To check,
.05(12)+.1(7)=.6+.7=1.3
12+7=19
I'll also show you how a computer script would do it:

Solved by pluggable solver: Linear System solver (using determinant)

Solve: Any system of equations: has solution or (x=12, y=7}