Which method would be the simplest way to solve the system? 7x + 5y = 19

Question

–7x – 2y = –16 (1 point)
graphing substitution elimination distributive

Answer 1

The simplest way to solve the system would be to use the elimination method.

Answer 2

What is the solution of the system? 7x + 5y = 19
–7x – 2y = –16 (1 point)
(2, 1) (1, 2) (7, 5) (–7, –2)

Answer 3

To solve the system using elimination method, you can add the two equations together to eliminate the x variable:

(7x + 5y) + (–7x – 2y) = 19 + (–16)
3y = 3
y = 1

Substitute the value of y into one of the original equations:

7x + 5(1) = 19
7x + 5 = 19
7x = 14
x = 2

So the solution to the system is (2, 1).

Answer 4

Which method would be the simplest way to solve the system?
y=x
2x + 3y = 28
(1 point)
graphing substitution elimination distributive

Answer 5

In this case, the simplest way to solve the system would be using the substitution method.

Answer 6

What is the solution of the system? y = −3x
3x + 2y = 6
(1 point)
(2, 6)
(−1, 3) (−2, 6) (1.5, −4.5)

Answer 7

To solve the system using the substitution method, we can substitute y = -3x into the second equation:

3x + 2(-3x) = 6
3x - 6x = 6
-3x = 6
x = -2

Substitute the value of x into y = -3x:

y = -3(-2)
y = 6

So the solution to the system is (-2, 6).

Answer 8

How many solutions does this system have? –3x + 6y = 10
–3x + 6y = –4 (1 point)
none one infinite two

Answer 9

This system of equations has no solution. The two equations are equivalent, meaning they represent the same line. Therefore, they have the same solution and no unique solution exists.