Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Solve the given system of equations.

2y=-x+9

3x-6y=-15

The solution to the system is (___ ,___ ).

Answer 1

ignore top left, that's another problem. the answer is (2,7/2)

Answer 2

The solution to the system is (2, 7/2).

Explanation:

The equations are given to be : 2y = -x + 9

⇒ x = -2y + 9 .............(1)

Also, The second equation is : 3x - 6y = -15

Putting value of x from (1) in above equation

⇒ 3 × (-2y + 9) - 6y = -15

⇒ -6y + 27 - 6y = -15

⇒ -12y = -42

`\bf\implies y = (7)/(2)`

Also, x = -7 + 9

⇒ x = 2

Hence, The solution to the system is (2, 7/2).