Answer:
The solution of the system of equations is the point (1,2)
Step-by-step explanation:
It is required to solve the system of equations:
y= -3x + 5
5x - 4y = -3
So, substitute with y from the first equation at the second equation:
∴ 5x - 4(-3x + 5) = -3
Solve for x
∴ 5x + 12x - 20 = -3
∴ 17x = -3 +20 = 17
∴ x = 17/17 = 1
∴ y = -3 * 1 + 5 = -3 + 5 =2
So, the solution of the system of equations (1,2)
Another solution:
The give system of equations can be solved by graph both of them.
So, the solution will be the intersection between the lines.
See the attached figure.
