To determine the number of solutions, we can use the method of solving a system of linear equations. We can rewrite the first equation as 5x - y = -7.
Now we have the following system of equations:
5x - y = -7 ...(1)
3y - 15x = 18 ...(2)
To solve this system, we can multiply equation (1) by 3 to make the coefficients of "y" in both equations the same:
15x - 3y = -21 ...(3)
3y - 15x = 18 ...(2)
Combining equations (2) and (3) will eliminate the "x" terms:
(3y - 15x) + (15x - 3y) = 18 + (-21)
0 = -3
Since we get an inconsistent equation (0 = -3), it means that there is no solution to this system of equations. Therefore, the original equations y = 5x + 7 and 3y - 15x = 18 do not have a solution.
y = 5x + 7
3y - 15x = 18
does this have one solution or no solutions or infinite solutions
1 answer