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If you were to use the substitution method to solve

6x – y = 1

4x – 3y = –11


Choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

Verified Answer :

HomertheGenius

The substitution method:
y = 6 x - 1 ( the new equation )
After that:
4 x - 3 ( 6 x - 1 ) = -11
4 x - 18 x + 3 = - 14
- 14 x = - 14
x = 1,   y = 6 * 1 - 1
y = 5

Answer:

x = 1

Step-by-step explanation:

Given :

6x – y = 1  

4x – 3y = –11

To Find : the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

Solution :

6x – y = 1     ---a

4x – 3y = –11   ---b

In equation a

y = 6x-1

Now substitute this value of y in equation b

4x – 3(6x-1)= –11

Thus the new equation : 4x-18x+3 = -11

                                         -14x =-14

                                         \(x=\frac{-14}{-14}\)

                                             x=1

Put value of x in equation a

6*1– y = 1

6-y=1

5=y

Thus the solution is (1,5)

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