Math, asked by tombasharma8130, 1 year ago

5x+7y=50 and 7x+5y=46 substitution method

Answers

Answered by TANU81
124
Hi friend ☄️


Look at the attachment

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Answered by DelcieRiveria
50

Answer:

The solution of the system of equations is (3,5).

Step-by-step explanation:

The given equations are

5x+7y=50              .... (1)

7x+5y=46              .... (2)

Substitute the value of y from equation (2) in equation (1).

5y=46-7x

y=\frac{46-7x}{5}                      .... (3)

Substitute this value in equation (1).

5x+7(\frac{46-7x}{5})=50  

5x+\frac{322-49x}{5}=50  

\frac{25x+322-49x}{5}=50  

322-24x=250  

322-250=24x  

72=24x  

x=3

The value of x is 3.

Substitute this value in equation (3).

y=\frac{46-7(3)}{5}

y=\frac{46-21}{5}

y=\frac{25}{5}=5

The value of y is 5.

Therefore the solution of the system of equations is (3,5).

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