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Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)

if you can can you please write out the steps


Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the-example-1
User ILuvLogix
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1 Answer

8 votes


\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

The given equations are :


\qquad \sf  \dashrightarrow \:x + y = 32

and


\qquad \sf  \dashrightarrow \:y = 7x

Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~


\qquad \sf  \dashrightarrow \:x + y = 32


\qquad \sf  \dashrightarrow \:x + 7x = 32


\qquad \sf  \dashrightarrow \:8x = 32


\qquad \sf  \dashrightarrow \:x = 32 / 8


\qquad \sf  \dashrightarrow \:x = 4

Now, plug the value of x in equation 2 to find y


\qquad \sf  \dashrightarrow \:y = 7x


\qquad \sf  \dashrightarrow \:y = 7 * 4


\qquad \sf  \dashrightarrow \:y = 28

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User Cafedeichi
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