Question

Estimate the solution of the system x+y=4 2x-y=6 by sketching a graph of each linear function. Then solve the system algebraically. Use your estimate to judge the reasonableness of your solution. The estimated solution is The algebraic solution is The solution is/is not reasonable because​

Answer 1

Answer:

(10/3, 2/3)

Step-by-step explanation:

You may find it easier to write these two equations x+y=4 2x-y=6 in a column:

x+y=4

2x-y=6

Adding these together will eliminate y:

3x = 10.  Then x = 10/3.

Substituting 10/3 for x in the first equation results in:

10/3 + y = 4

Clear fractions by multiplying all three terms by 3:

10 + 3y = 12

Then 3y = 2, and y = 2/3.

The solution is (10/3, 2/3)