Math, asked by awityungmath, 2 months ago

2x-5y=-28 3x+15y=3 Solve by Substitution

Answers

Answered by durgeshbishi2
2

Answer:

The value of x is -9 and y is 2.

Step-by-step explanation:

Given equation are

       2x-5y=-28----(1) \\ \\ 3x+15y=3 ----(2)

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

From equation (1)

                    2x-5y=-28\\ \\ 5y=2x+27\\ \\ y=\frac{2x+28}{5}----(3)

Substituting the value of y in equation (2), we get the value of x

    3x+15y=3\\ \\ 3x+15(\frac{2x+28}{5} )=3\\ \\ 3x+3(2x+28)=3\\ \\ 3x+6x+84=3\\ \\ 3x+6x=3-84\\ \\ 9x=-81\\ \\ x=\frac{-81}{9} \\ \\ x=-9

Substituting the value of x in equation (3) , we get

y=\frac{2x+28}{5} \\ \\ y=\frac{2\cdot(-9)+28}{5}\\ \\ y=\frac{-18+28}{5}  \\ \\ y=\frac{10}{5} \\ \\ y=2

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