Question

Solve the system by the addition method.

4x + 8y = 12
3x - 8y​= 9

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The solution is___ ​(Type an ordered​ pair.)
B.There are infinitely many solutions.
C.There is no solution.

Answer 1

(3,0)

Explanation:

4x+8y=`12--------------------------(1)

3x-8y=9-----------------------------(2)

By adition method the y terms will cancel. +8y+-8y=0 hence

4x+3x=12+9

7x=21----------------------------divide both sides by 7 to get x

7x/7=21/7

x=3.....................substitute value of x in equation (1)

4x+8y=12

4(3)+8y=12

12+8y=12

8y=12-12

8y=0

y=0

solutions

x=3, y=0