Question

Solve the system of equations by graphing, elimination or

substitution method. Follow one method please. *
(2 Points)
5x + 3y = 15
10x + 6y=20
One Solution
No Solution
Many Solutions

Answer 1

No solution

Explanation:

Given

`5x + 3y = 15`

`10x + 6y = 20`

Required

Number of solutions

Using elimination method.

First, multiply equation (1) by 2

`5x + 3y = 15` * 2

`5x * 2 + 3y * 2 = 15 * 2`

`10x + 6y = 30`

So, we have:

`10x + 6y = 30` and

`10x + 6y = 20`

Subtract both equations

`10x -10x + 6y - 6y = 30 - 20`

`0+0 = 10`

`0 = 10`

The above equation is not true because:

`0 \\e 10`

Hence, the system of equations has no solution.