Solve each of the following systems of equations by substitution

1) The solution to the given equations is (3,6)

2) The solution to the given equations is (7,-1)

3) The solution to the given equations is (6,5)

Step-by-step explanation:

1) Given equations are

and

To solve the given equations by substitution method :

From equation (2) we have the value x=1+y

Substitute the value of x=1+y  in equation (1) we get

(1+y)+y=5

1+y+y=5

1+2y=5

2y=5-1

2y=4

Therefore y=2

Now substitute the value of y=2 in equation (2) we get

x=1+y

x=1+2

Therefore x=3

The solution is (3,6)

2) Given equations are

and

To solve the given equations by substitution method :

From equation (2) we have the value x=6-y

Substitute the value of x=6-y  in equation (1) we get

2(6-y)+3y=11

12-2y+3y=11

y=11-12

Therefore y=-1

Now substitute the value of y=-1 in equation (2) we get

x+(-1)=6

x=6+1

Therefore x=7

The solution is (7,-1)

3) Given equations are

and

To solve the given equations by substitution method :

From equation (1) we have the value x=1+y

Substitute the value of x=1+y  in equation (2) we get

6(1+y)-7y=1

6+6y-7y=1

-y=1-6

Therefore y=5

Now substitute the value of y=5 in equation (1) we get

x-5=1

x=1+5

Therefore x=6

The solution is (6,5)

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step-by-step explanation:

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