Question

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
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Answer 1

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

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 ~

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

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

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

$\qquad \sf  \dashrightarrow \:x = 32 \div 8$

$\qquad \sf  \dashrightarrow \:x = 4$

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

$\qquad \sf  \dashrightarrow \:y = 7x$

$\qquad \sf  \dashrightarrow \:y = 7 \times 4$

$\qquad \sf  \dashrightarrow \:y = 28$

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