The number of the system equations are: 8 and 27.
System of Equations
A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the question in the math expression. Then,
x+y= 35 (1)
x+4y=116 (2)
After that, you should multiply equation(2) by -1. Thus,
x+y= 35 (1)
-x-4y= - 116 (2)
Now, when you sum equations 1 and 2, you eliminate x . Thus, from this sum, you will have:
-3y=-81
3y=81
y=81/3
y=27
From equation (1), you can find x.
x+y=35
x+27=35
x=35-27
x=8
Read more about solving systems equations here:
brainly.com/question/12691830
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