Answer:
x = -3 and y = -7
The solution to the system of equation is (-3, -7)
Step-by-step explanation:
y = 2x - 1
y = 3x + 2
We can solve this system of equation by either elimination method or substitution method or both.
We will use substitution method to solve this.
y = 2x - 1 ---------------------------------------(1)
y = 3x + 2---------------------------------------(2)
Substitute equation(2) into equation (1)
3x + 2 = 2x - 1
subtract 2x from both-side of the equation
3x -2x + 2 = 2x - 2x - 1
x + 2=-1
subtract 2 from both-side of the equation
x + 2 - 2 = -1 -2
x = -3
Substitute x = -3 in equation (1)
y = 2x - 1
y = 2(-3) - 1
=-6 -1
= -7
y=-7
x = -3 and y = -7
Therefore the solution to the system of equation is (-3, -7)
