x = 1
y = 2
Explanations:The system of equations is:
y = -3x + 5..........................(1)
5x = 4y - 3.......................(2)
Substitute equation (1) into equation (2)
The equation becomes:
5x = 4(-3x + 5) - 3
5x = -12x + 20 - 3
5x = 12x + 17
5x + 12x = 17
17x = 17
Divide both sides by 17
17x / 17 = 17 /17
x = 1
Substitute the value of x into equation (1)
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2