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stellarik [79]
3 years ago
15

HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!

Mathematics
2 answers:
azamat3 years ago
8 0
X+y=94 -> y=94-x
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53

Plug x back into equation
x-y=12
53-y=12
y=41

x= 53, y=41

Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29

Plug x back into equation
x+y=66
29+y=66
y = 37

x=29, y=37
LenaWriter [7]3 years ago
6 0

Answer:

i am unsure

Step-by-step explanation:

I HEART POINTS

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Homework: 5.1 Systems of Linear Equations
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Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=8,\:y=5

Step-by-step explanation:

Given the system of linear equations

7x-y=51

x+3y=23

solving by the elimination method

\begin{bmatrix}7x-y=51\\ x+3y=23\end{bmatrix}

\mathrm{Multiply\:}x+3y=23\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x+21y=161

\begin{bmatrix}7x-y=51\\ 7x+21y=161\end{bmatrix}

7x+21y=161

-

\underline{7x-y=51}

22y=110

so

\begin{bmatrix}7x-y=51\\ 22y=110\end{bmatrix}

now solving for y

22y=110

\mathrm{Divide\:both\:sides\:by\:}22

\frac{22y}{22}=\frac{110}{22}

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\mathrm{For\:}7x-y=51\mathrm{\:plug\:in\:}y=5

7x-y=51

7x-5=5

7x=56

\mathrm{Divide\:both\:sides\:by\:}7

\frac{7x}{7}=\frac{56}{7}

x=8

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=8,\:y=5

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