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Use the substitution method to solve the following system of equations:

4x − y = 3
7x − 9y = −2

(1, 1)
(6, −3)
(6, 1)
(1, −3)

Answer :

SUSAN4060
The answer is (1,1). If you need an explanation why I will be happy to help :)
shubhamchouhanvrVT

The value of x and y by solving the equations will be ( 1, 1 ).

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:

4x    −   y   =   3......................1

7x    −   9y =  −2.....................2

From equation 1 get the value of y and substitute in the second equation:-

y  =  4x  -  3

7x    -  9 ( 4x  -  3  )  =  -2

7x   -   36x   -   27   =   -2

-29x    =   -29  

x    =   1

Put the value of x in equation 1

y   =  4   -  3

y  =  1

Therefore the value of x and y by solving the equations will be ( 1, 1 ).

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