Question

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

y=3x+2


10x+2y=20

Answer 1

The solution is (1, 5)

Explanation:

Here two equation of straight lines are given.

Two equations can intersect each other at a point.

The given equations are,

1. 
   `y = 3x + 2`
2. 
   `10x + 2y = 20\\ 5x + y = 10\\y = 10 - 5x`

Equating both 1 and 2 we get,

`10 - 5x = 3x + 2\\8x = 8\\x = 1`

Hence, from 1 we get,
`y = 3+2 = 5`