Question

Choose the graph below that represents the solution to the system of equations

y= 3x + 2
10x + 2y = 20​

Answer 1

Graph 3 represents the solution to the system of equations.

Explanation:

The given two linear equations of x and y are

y = 3x + 2 ........ (1) and

10x + 2y = 20 .......... (2)

Now, to solve those two equations let substitute the value of y from equation (1) to the equation (2).

Hence, 10x + 2(3x + 2) = 20

⇒ 16x = 16

⇒ x = 1

And from equation (1), y = 3x + 2 = 5

Therefore, the solution of the system of equations (1) and (2) are (1,5).

Therefore, graph 3 represents the solution to the system of equations. (Answer)